diff --git a/.ciagent/CHECKPOINT.json b/.ciagent/CHECKPOINT.json
index 7b400fd..14018a5 100644
--- a/.ciagent/CHECKPOINT.json
+++ b/.ciagent/CHECKPOINT.json
@@ -1,8 +1,8 @@
 {
-  "phase": 6,
-  "stage": "approval_pending",
+  "phase": 7,
+  "stage": "execute",
   "milestone": "v0.1",
-  "phase_role": "final",
+  "phase_role": "execution",
   "attempts": 0,
-  "updated_at": "2026-09-27T04:40:00Z"
+  "updated_at": "2026-09-27T05:10:00Z"
 }
\ No newline at end of file
diff --git a/.ciagent/PLAN.md b/.ciagent/PLAN.md
index 27bb1aa..a0ce778 100644
--- a/.ciagent/PLAN.md
+++ b/.ciagent/PLAN.md
@@ -1,54 +1,48 @@
-# PLAN — Milestone v0.1 Phase 6 (FINAL): Review + Approval Re-presentation + Ship
+# PLAN — Milestone v0.1 Phase 7: Ask Screen Intelligence — Suggestions + Refine
 
 ---
-phase: 6
+phase: 7
 milestone: v0.1
-status: executed
+status: planned
 must_haves:
-  - "Full-milestone review: PASS-WITH-FIXES — deep-link P0 (stored-report cards resolved to the wrong run) + 5 P1s fixed and verified in-phase; 75/75 tests"
-  - "Audit: PASS-WITH-NOTES — reconstruction, tags, file/branch/commit discipline, secrets sweep all green; notes applied (version bump, ROADMAP status, ARCHITECTURE surfaces)"
-  - "Final phase patch v0.1.6 shipped — milestone release candidate, presented at the REQ-62 owner approval gate"
+  - "Follow-up query suggestions on the New Research view, derived from unanswered questions (open task-inbox items joined with source reports); click fills the question box — editable, never auto-starts (REQ-67)"
+  - "Refine option: opt-in back-and-forth dialogue in an inline drawer (scripted clarifying questions → answers → composed refined question + suggested context); accept fills the form, or keep original (REQ-68)"
+  - "Both features opt-in — zero required clicks added to the ≤3-click happy path (pinned by test)"
+  - "All new data access extends the ApiClient boundary + MockApiClient fixtures (REQ-53/54 discipline)"
 personas:
+  - frontend-engineer
   - ci-lead-developer
-requirements: [REQ-62]
+requirements: [REQ-67, REQ-68]
 ---
 
 ## User-Facing Surface
 
-The extended prototype presented for owner approval: the full 5-screen click-path (Ask → Choose → Plan & Run → Reading Room → Library) now inside the persistent app shell (sidebar + top bar + avatar), the folder-structure research library with cross-report connections, the settings surface (API keys, storage, methodology defaults, appearance, about), and the ⌘K navigation palette. Releases v0.1.0–v0.1.5; v0.1.6 is the extended-prototype release candidate.
+1. **Ask suggestions** (`/ask`, below the primary form): "Pick up an open question" — cards for each open task-inbox item (question text + source report title + "from your research" attribution). Click fills the question textarea (editable, no auto-submit, focus moves to the box). Honest empty state: "No open questions yet — they collect here as you run research."
+2. **Refine drawer** (`/ask`, inline): "Refine question" button (disabled until a draft exists) opens the established dials-drawer pattern — one clarifying question at a time with answer input, progress indicator (1/2/3), then the composed refined question + suggested context preview. **Use this** fills question + context and closes; **Keep original** dismisses; **Restart** re-runs the exchange. Escape closes. Honest caption: "Scripted refinement in the prototype — model-driven refine lands in v0.2."
 
-## Happy Path (owner review script)
+## Happy Path
 
-1. `cd frontend && pnpm install && pnpm dev` → http://localhost:3000 → shell renders on /ask
-2. Ask → question → Research this (click 1)
-3. Choose → Deep Report card → Start research (click 2)
-4. Plan & Run → Approve plan (click 3) → live trace → pause/resume/cancel
-5. Read the report → hover [n] → exact quote; ledger; export Markdown/JSON
-6. Sidebar → Library → folder tree → open a stored report → matches its card title
-7. Library → Connections → shared-source ⇄ and related-topic → edges
-8. ⌘K → type "lith" → jump to the stored report
-9. Avatar → user menu → Settings → API keys masked, save round-trips
-10. Owner decision: approve → v0.1.6 published + milestone merge to main; or request changes
-
-## What this phase did
-
-1. **Review** (multi-persona, full milestone diff `main..HEAD`, P5-weighted): verdict PASS-WITH-FIXES. P0-1: stored-report deep links resolved to the wrong run (every library card + palette entry opened the demo report under a mismatched id) — fixed via the `#storedRun` resolver + card-title override in the scripted builders; probe + boundary tests prove run/report/ledger/export agree. P1s fixed in-phase: avatar-menu dismiss race (toggleRef guard, pinned by a new test), lost v2-preview pills on graph/inbox panels, stale root README, settings stale-after-save + non-live dial preview (now previews the live selection with formatted values), doc rot (run-page header, VERSIONING.md table). Suite 72 → 75.
-2. **Audit**: PASS-WITH-NOTES — tags v0.1.0–v0.1.5 verified annotated + on-branch and mapped to ship records; REQ traceability consistent with ---ci--- blocks; secrets clean across full history; branch hygiene exact. Notes applied in this phase: settings About bumped to v0.1.6 (P1-watch), ROADMAP P6 → in_progress, ARCHITECTURE.md §7 + Build Order extended with P5/P6 surfaces, release README example bumped; `---/ci---` closer convention restored going forward.
-3. **Ship (this commit sequence)**: PR #6 (phase/06 → milestone), squash-merge, tag v0.1.6, release with full milestone summary. Per REQ-62 and the prototype_approval escalation hook, the milestone merge to main does NOT proceed autonomously — the pipeline halts at the gate for the recorded owner decision.
+1. `cd frontend && pnpm install && pnpm dev` → http://localhost:3000/ask (shell present)
+2. Default path unchanged: question → Research this (click 1) → Choose → Start research (click 2) → Approve plan (click 3)
+3. Suggestions: scroll to "Pick up an open question" → click a card → question box fills with the open question → edit if desired → Research this as usual
+4. Refine: type a draft → "Refine question" → answer the 3 clarifying questions → review the composed question + suggested context → "Use this" → both boxes filled → Research this
+5. Keep-original: open the drawer, answer partway, Escape → the original draft is untouched
 
 ## UX Acceptance Criteria
 
-- Owner demo script runs clean on the shipped code (deep-link P0 fix verified by test)
-- No placeholder/stub text in owner-visible surfaces; preview pills honest
-- The 3-click criterion still pinned green post-shell
-- Avatar menu opens/closes cleanly; keyboard accessible throughout
+- ≤3-click default happy path still green (both features opt-in; zero required interactions)
+- Suggestions never compete with the primary action (below the form, not modal, no auto-start)
+- Refine drawer: draft visible behind, Escape-safe, honest scripted-prototype caption
+- Keyboard accessible; focus ring in accent (global standard)
+- All data via `api.*` — components never import MockApiClient; v0.2 OpenAPI swap unaffected
 
-## Verification
+## Waves
 
-- Gates: typecheck ✓ lint ✓ tests 75/75 ✓ build ✓ (re-run after review fixes, plus by audit)
-- Deep-link boundary test: every stored report resolves to its own id/question/methodology/title
-- Post-hoc v0.2 log: demo-run fallback 404 semantics, shared scripted report body disclosure, palette scroll-into-view, raw methodology slugs on cards, pt-[14vh] token
+1. **T-7.1 Boundary**: types (`SuggestedQuery`, `RefinementQuestion`, `RefinedQuestion`) → ApiClient gains `getSuggestedQueries` (mock: open `taskInboxFixture` items joined with `reportLibraryFixture`; v0.2: GET /api/suggestions), `getRefinementQuestions(draft)` (mock: scripted 3-question set; v0.2: POST /api/refine step 1), `composeRefinedQuestion(draft, answers)` (mock: deterministic composer; v0.2: model-driven) → co-located boundary tests
+2. **T-7.2 Suggestions UI**: `AskSuggestions` component on /ask; click-fills-box contract; empty state; tests
+3. **T-7.3 Refine drawer**: `RefineQuestionButton` + drawer component; exchange state machine; use/keep/restart; tests
+4. **T-7.4 Regression + polish**: 3-click re-pin, README, typography pass, gates green
 
 ## Scope Guard
 
-Milestone merge to main, v0.1.6 publication, v0.2 unblocking, and all v0.2 P1 work wait on the owner approval gate (REQ-62, prototype_approval escalation hook). The pipeline does not proceed autonomously past this commit.
\ No newline at end of file
+P8 (final review + approval re-presentation) follows P7 ship + UAT deploy. Milestone merge to main remains gated on the owner's recorded approval (REQ-62, prototype_approval escalation hook). No backend work, no v0.2 scope, no model calls (scripted refine only — the model-driven version is v0.2).
\ No newline at end of file
diff --git a/.ciagent/REQUIREMENTS.md b/.ciagent/REQUIREMENTS.md
index 1f99df9..212db5d 100644
--- a/.ciagent/REQUIREMENTS.md
+++ b/.ciagent/REQUIREMENTS.md
@@ -25,6 +25,10 @@
 - **REQ-65**: Settings surface behind the ApiClient boundary: API keys (model/search, masked), storage endpoint (local directory), methodology defaults (resolved dial display), appearance slot, about/version
 - **REQ-66**: Avatar button (top bar) opening a user menu: local single-user profile (no auth), links to settings and about; future slots visible but honest (preview-marked)
 
+### Ask Intelligence Extension (P7 — owner gate feedback, directed 2026-09-27)
+- **REQ-67**: New Research view surfaces follow-up query suggestions derived from unanswered questions (open task-inbox items from past runs); one click loads a suggestion into the question box for editing — never auto-starts a run
+- **REQ-68**: Refine option on the question: an opt-in back-and-forth dialogue (clarifying questions → answers → composed refined question + suggested context); accepting fills the form, or the original is kept
+
 ## MVP (Milestone v0.2 — core loop, gated on prototype approval)
 
 ### Methodology Framework
@@ -115,8 +119,9 @@
 | REQ-57 (Plan & Run) | v0.1 | P2 | complete |
 | REQ-58, REQ-59 (Reading Room, exports) | v0.1 | P2 | complete |
 | REQ-60, REQ-61 (v2 mockups, 3-click) | v0.1 | P3 | complete |
-| REQ-62 (approval gate) | v0.1 | P6 | in_progress (awaiting owner decision on extended prototype) |
+| REQ-62 (approval gate) | v0.1 | P8 | in_progress (awaiting owner decision on extended prototype) |
 | REQ-63, REQ-64, REQ-65, REQ-66 (app shell, library, settings, avatar) | v0.1 | P5 | complete |
+| REQ-67, REQ-68 (ask suggestions, refine dialogue) | v0.1 | P7 | in_progress |
 | REQ-01..06, REQ-08..11, REQ-31 (framework, adapters) | v0.2 | P1 | blocked |
 | REQ-07, REQ-12, REQ-13..24 (probing, engine, trust) | v0.2 | P2 | blocked |
 | REQ-25, REQ-26, REQ-33 (API, client, tooling) | v0.2 | P3 | blocked |
diff --git a/.ciagent/ROADMAP.md b/.ciagent/ROADMAP.md
index 5d60989..6fbcc47 100644
--- a/.ciagent/ROADMAP.md
+++ b/.ciagent/ROADMAP.md
@@ -47,12 +47,26 @@ Two milestones, owner-directed 2026-09-27. **Milestone v0.1 — Prototype**: the
 - **Depends on**: 4
 - **Status**: complete (PR #5 squash-merged to milestone/v0.1-prototype, tag v0.1.5, release created; verify PASS with one P1 fixed in-phase — main landmark restored)
 
-### Phase 6 — Final Review + Approval Re-presentation + Ship (FINAL)
+### Phase 6 — Final Review + Approval Re-presentation + Ship (shipped v0.1.6 — superseded by 2nd extension)
 - **Description**: Multi-persona review of the full milestone diff (now including P5), audit, then re-present the **extended prototype** at the REQ-62 owner approval gate. On recorded approval: milestone merge to main, tag v0.1.6 — the milestone release. (v0.2 P1 branches only after this tag.)
 - **Requirements covered**: REQ-62 (gate) + milestone approval of REQ-52..66
 - **Success criteria**: review PASS (P0s fixed in-phase); audit PASS; v0.1.6 tagged + release; pipeline halts at the approval gate for the owner's recorded decision
 - **Depends on**: 5
-- **Status**: in_progress (review PASS-WITH-FIXES — deep-link P0 + 5 P1s fixed; audit PASS-WITH-NOTES; shipping as v0.1.6, then the gate halts for the owner decision)
+- **Status**: shipped (PR #6 squash-merged, tag v0.1.6 + release created; review PASS-WITH-FIXES — deep-link P0 + 5 P1s fixed; audit PASS; owner directed UAT deploy then returned 2nd gate feedback → binding extension cycle P7/P8; milestone merge to main stays halted)
+
+### Phase 7 — Ask Screen Intelligence: Suggestions + Refine (2nd owner gate feedback)
+- **Description**: New Research view gains follow-up query suggestions derived from unanswered questions (open task-inbox items joined with their source reports); one click fills the question box — editable, never auto-starts. An opt-in Refine dialogue (inline drawer, one clarifying question at a time, scripted in the prototype) composes a refined question + suggested context; accept fills the form, or keep the original. Both are opt-in affordances — zero required clicks added to the ≤3-click happy path. All data through the ApiClient boundary.
+- **Requirements covered**: REQ-67, REQ-68
+- **Success criteria**: suggestions render from open inbox items with source attribution; click fills the box (no auto-submit); refine drawer completes a scripted exchange and composes a refined question; both flows keyboard-accessible; 3-click path pinned green; gates green
+- **Depends on**: 6
+- **Status**: in_progress
+
+### Phase 8 — Final Review + Approval Re-presentation + Ship (FINAL)
+- **Description**: Multi-persona review of the full milestone diff (now including P7), audit, then re-present the extended prototype at the REQ-62 owner approval gate. On recorded approval: milestone merge to main, tag v0.1.8 — the milestone release. (v0.2 P1 branches only after this tag.)
+- **Requirements covered**: REQ-62 (gate) + milestone approval of REQ-52..68
+- **Success criteria**: review PASS (P0s fixed in-phase); audit PASS; v0.1.8 tagged + release; UAT staged per owner directive; pipeline halts at the approval gate
+- **Depends on**: 7
+- **Status**: planned
 
 ## Milestone v0.2 — MVP (feature) — BLOCKED until prototype approval
 
@@ -87,9 +101,11 @@ Phases renumbered from the original v1.0 plan (1-based within the milestone):
 - **Status**: blocked
 
 ## Milestone Releases
-- **v0.1.4 = extended-prototype candidate** (feature milestone; final phase patch — superseded by the P5/P6 extension cycle)
+- **v0.1.4 = extended-prototype candidate** (superseded by the P5/P6 extension cycle)
 - **v0.1.5 = app shell + research library + settings + avatar** (P5 patch)
-- **v0.1.6 = milestone release** (P6 final phase patch — the approved extended prototype release, pending owner decision)
+- **v0.1.6 = extended-prototype candidate** (superseded by the P7/P8 extension cycle)
+- **v0.1.7 = ask suggestions + refine dialogue** (P7 patch)
+- **v0.1.8 = milestone release** (P8 final phase patch — the approved extended prototype release, pending owner decision)
 - **v0.2.x = MVP release** (MAJOR still 0; ship only if all v0.2 phases complete)
 - If MVP scope extends: additional 0.x minor milestones (v0.3, …), each a full milestone cycle
 - **v1.0.0**: owner-approved release only — not created by the pipeline autonomously
diff --git a/frontend/README.md b/frontend/README.md
index 6b2184c..b0e7ba1 100644
--- a/frontend/README.md
+++ b/frontend/README.md
@@ -35,6 +35,13 @@ The happy path:
 The shell adds zero required clicks to that path. Everything else it
 hosts is wayfinding and accumulated research:
 
+- **Open questions** (`/ask`, below the form) — follow-up suggestions
+  derived from unanswered questions of your past runs; one click loads
+  one into the question box for editing (never auto-starts).
+- **Refine question** (`/ask`, beside the box) — an opt-in back-and-forth:
+  a few clarifying questions, then a composed refined question with
+  suggested context. Use it, or keep your original. Scripted in the
+  prototype — model-driven refine lands with v0.2.
 - **Library** (`/library`) — every report you've generated, filed into
   auto-categorized folders; sort by recency or title; open any card to
   re-enter its Reading Room. The **Connections** panel draws the links
diff --git a/frontend/src/app/ask/page.tsx b/frontend/src/app/ask/page.tsx
index 87e77e7..3e2a9bb 100644
--- a/frontend/src/app/ask/page.tsx
+++ b/frontend/src/app/ask/page.tsx
@@ -1,8 +1,10 @@
-import { AskForm } from "@/components/ask-form";
+import { AskView } from "@/components/ask-view";
 
 /**
- * /ask (T-3.1, REQ-55) — the front door: one question box, one optional
- * context box, one primary action. Generous whitespace, no competition.
+ * /ask (T-3.1, REQ-55; T-7.2/7.3, REQ-67/68) — the front door: one
+ * question box, one optional context box, one primary action. The
+ * opt-in affordances live below and beside the form — open-question
+ * suggestions and the refine dialogue — never competing with it.
  * The app shell (sidebar + top bar) lives in the root layout.
  */
 export default function AskPage() {
@@ -21,11 +23,11 @@ export default function AskPage() {
         </p>
       </header>
 
-      <AskForm />
+      <AskView />
 
       <p className="mt-block text-caption text-ink-faint">
         Prototype: runs on scripted mock data — no API keys, no live search.
       </p>
     </div>
   );
-}
+}
\ No newline at end of file
diff --git a/frontend/src/components/ask-form.test.tsx b/frontend/src/components/ask-form.test.tsx
deleted file mode 100644
index 42aa577..0000000
--- a/frontend/src/components/ask-form.test.tsx
+++ /dev/null
@@ -1,82 +0,0 @@
-/**
- * AskForm tests (T-3.3, REQ-55).
- *
- * - Button disabled until the question is non-empty
- * - Submit stores the payload in the ask store (state carry) and
- *   routes to /choose
- */
-
-import { cleanup, render, screen, waitFor } from "@testing-library/react";
-import userEvent from "@testing-library/user-event";
-import { afterEach, beforeEach, describe, expect, it, vi } from "vitest";
-import { AskForm } from "@/components/ask-form";
-import { clearAskState, getAskState } from "@/lib/ask-store";
-
-const pushMock = vi.hoisted(() => vi.fn());
-
-vi.mock("next/navigation", () => ({
-  useRouter: () => ({ push: pushMock }),
-}));
-
-describe("AskForm", () => {
-  beforeEach(() => {
-    pushMock.mockClear();
-    clearAskState();
-  });
-
-  afterEach(cleanup);
-
-  it("disables the submit button until a question is typed", async () => {
-    const user = userEvent.setup();
-    render(<AskForm />);
-
-    const button = screen.getByRole("button", { name: "Research this" });
-    expect(button).toBeDisabled();
-
-    const question = screen.getByLabelText(/what do you want to know\?/i);
-    await user.type(question, "What are the latest advances in solid-state batteries?");
-
-    expect(button).toBeEnabled();
-  });
-
-  it("submits: stores question + context and routes to /choose", async () => {
-    const user = userEvent.setup();
-    render(<AskForm />);
-
-    await user.type(
-      screen.getByLabelText(/what do you want to know\?/i),
-      "What are the latest advances in solid-state batteries?",
-    );
-    await user.type(
-      screen.getByLabelText(/anything else it should know\?/i),
-      "Focus on automotive applications",
-    );
-    await user.click(screen.getByRole("button", { name: "Research this" }));
-
-    // State carry (UX criterion): the payload survives navigation.
-    const carried = getAskState();
-    expect(carried?.question).toBe(
-      "What are the latest advances in solid-state batteries?",
-    );
-    expect(carried?.context).toBe("Focus on automotive applications");
-
-    await waitFor(() => {
-      expect(pushMock).toHaveBeenCalledWith("/choose");
-    });
-  });
-
-  it("submits without storing an empty context", async () => {
-    const user = userEvent.setup();
-    render(<AskForm />);
-
-    await user.type(
-      screen.getByLabelText(/what do you want to know\?/i),
-      "Who makes solid-state cells today?",
-    );
-    await user.click(screen.getByRole("button", { name: "Research this" }));
-
-    const carried = getAskState();
-    expect(carried?.question).toBe("Who makes solid-state cells today?");
-    expect(carried?.context).toBeUndefined();
-  });
-});
\ No newline at end of file
diff --git a/frontend/src/components/ask-form.tsx b/frontend/src/components/ask-form.tsx
deleted file mode 100644
index bf20f44..0000000
--- a/frontend/src/components/ask-form.tsx
+++ /dev/null
@@ -1,78 +0,0 @@
-"use client";
-
-/**
- * AskForm (T-3.1, REQ-55) — the front door.
- *
- * Exactly ONE question textarea + ONE optional context textarea + one
- * primary action. Nothing else competes for attention. Submit stores
- * the payload in the ask store and routes to /choose.
- */
-
-import { useRouter } from "next/navigation";
-import { useState } from "react";
-import type { FormEvent } from "react";
-import { setAskState } from "@/lib/ask-store";
-
-export function AskForm() {
-  const router = useRouter();
-  const [question, setQuestion] = useState("");
-  const [context, setContext] = useState("");
-  const [submitting, setSubmitting] = useState(false);
-
-  const canSubmit = question.trim().length > 0 && !submitting;
-
-  function handleSubmit(event: FormEvent<HTMLFormElement>) {
-    event.preventDefault();
-    if (!canSubmit) return;
-    setSubmitting(true);
-    setAskState({
-      question: question.trim(),
-      ...(context.trim() !== "" ? { context: context.trim() } : {}),
-    });
-    router.push("/choose");
-  }
-
-  return (
-    <form onSubmit={handleSubmit} className="measure-narrow">
-      <label htmlFor="question" className="block text-body font-medium">
-        What do you want to know?
-      </label>
-      <textarea
-        id="question"
-        name="question"
-        value={question}
-        onChange={(e) => setQuestion(e.target.value)}
-        rows={3}
-        required
-        autoFocus
-        placeholder="e.g. What are the latest advances in solid-state batteries?"
-        className="mt-2 w-full resize-none rounded-card border border-hairline bg-paper-raised px-4 py-3 text-body text-ink placeholder:text-ink-faint"
-      />
-
-      <label
-        htmlFor="context"
-        className="mt-6 block text-small font-medium text-ink-soft"
-      >
-        Anything else it should know?{" "}
-        <span className="text-ink-faint">(optional)</span>
-      </label>
-      <textarea
-        id="context"
-        name="context"
-        value={context}
-        onChange={(e) => setContext(e.target.value)}
-        rows={2}
-        placeholder="Constraints, prior findings, the decision this feeds…"
-        className="mt-2 w-full resize-none rounded-card border border-hairline bg-paper-raised px-4 py-3 text-small text-ink placeholder:text-ink-faint"
-      />
-
-      <button
-        type="submit"
-        disabled={!canSubmit}
-        className="mt-8 rounded-pill bg-accent px-7 py-3 text-body font-medium text-paper-raised transition-colors hover:bg-accent-strong disabled:cursor-not-allowed disabled:opacity-40"
-      >
-        {submitting ? "Opening methodologies…" : "Research this"}
-      </button>
-    </form>
-  );
-}
\ No newline at end of file
diff --git a/frontend/src/components/ask-suggestions.tsx b/frontend/src/components/ask-suggestions.tsx
new file mode 100644
index 0000000..c1d5420
--- /dev/null
+++ b/frontend/src/components/ask-suggestions.tsx
@@ -0,0 +1,88 @@
+"use client";
+
+/**
+ * AskSuggestions (T-7.2, REQ-67) — open questions worth following up.
+ *
+ * Follow-up query suggestions derived from unanswered questions of
+ * past runs, behind the ApiClient boundary. Clicking a card fills the
+ * question box (editable — never auto-submits). Sits below the primary
+ * form action; the honest empty state explains how items collect here.
+ */
+
+import { useEffect, useState } from "react";
+import { api, type SuggestedQuery } from "@/lib/api/client";
+
+type SuggestionsState =
+  | { kind: "loading" }
+  | { kind: "error" }
+  | { kind: "ready"; suggestions: SuggestedQuery[] };
+
+export function AskSuggestions({ onPick }: { onPick: (question: string) => void }) {
+  const [state, setState] = useState<SuggestionsState>({ kind: "loading" });
+
+  useEffect(() => {
+    let cancelled = false;
+    api
+      .getSuggestedQueries()
+      .then((suggestions) => {
+        if (!cancelled) setState({ kind: "ready", suggestions });
+      })
+      .catch(() => {
+        if (!cancelled) setState({ kind: "error" });
+      });
+    return () => {
+      cancelled = true;
+    };
+  }, []);
+
+  return (
+    <section
+      aria-label="Open questions from your research"
+      className="mt-block"
+    >
+      <h2 className="text-small font-semibold uppercase tracking-wide text-ink-faint">
+        Pick up an open question
+      </h2>
+
+      {state.kind === "loading" && (
+        <p className="mt-2 text-caption text-ink-faint">Checking your research…</p>
+      )}
+      {state.kind === "error" && (
+        <p className="mt-2 text-caption text-ink-faint">
+          Suggestions unavailable right now.
+        </p>
+      )}
+      {state.kind === "ready" && state.suggestions.length === 0 && (
+        <p className="measure-reading mt-2 text-caption text-ink-faint">
+          No open questions yet — they collect here as you run research.
+        </p>
+      )}
+      {state.kind === "ready" && state.suggestions.length > 0 && (
+        <>
+          <p className="mt-1 text-caption text-ink-soft">
+            Unanswered questions from your past runs — one click loads them
+            here for editing.
+          </p>
+          <ul className="mt-3 space-y-2">
+            {state.suggestions.map((suggestion) => (
+              <li key={suggestion.id}>
+                <button
+                  type="button"
+                  onClick={() => onPick(suggestion.question)}
+                  className="w-full rounded-card border border-hairline bg-paper-raised px-4 py-3 text-left transition-colors hover:border-ink-faint"
+                >
+                  <p className="measure-reading text-small text-ink">
+                    {suggestion.question}
+                  </p>
+                  <p className="mt-1 text-caption text-ink-faint">
+                    From your research — {suggestion.sourceReportTitle}
+                  </p>
+                </button>
+              </li>
+            ))}
+          </ul>
+        </>
+      )}
+    </section>
+  );
+}
\ No newline at end of file
diff --git a/frontend/src/components/ask-view.test.tsx b/frontend/src/components/ask-view.test.tsx
new file mode 100644
index 0000000..6a9fb3e
--- /dev/null
+++ b/frontend/src/components/ask-view.test.tsx
@@ -0,0 +1,264 @@
+/**
+ * AskView tests (T-7.2/T-7.3, REQ-55, REQ-67, REQ-68).
+ *
+ * - Submit behavior: stores question + context, routes to /choose
+ * - Suggestions: render from open questions with attribution; a click
+ *   fills the question box (editable, NO auto-submit)
+ * - Refine: disabled without a draft; the exchange completes and
+ *   "Use this" fills question + context; "Keep original"/Escape leaves
+ *   the draft untouched; Enter advances the exchange without
+ *   submitting the outer form; focus returns to the trigger on close
+ */
+
+import { cleanup, render, screen, waitFor } from "@testing-library/react";
+import userEvent from "@testing-library/user-event";
+import { afterEach, beforeEach, describe, expect, it, vi } from "vitest";
+import { AskView } from "@/components/ask-view";
+import { clearAskState, getAskState } from "@/lib/ask-store";
+
+const pushMock = vi.hoisted(() => vi.fn());
+vi.mock("next/navigation", () => ({
+  useRouter: () => ({ push: pushMock }),
+}));
+
+describe("AskView", () => {
+  beforeEach(() => {
+    pushMock.mockClear();
+    clearAskState();
+  });
+
+  afterEach(cleanup);
+
+  it("submits: stores question + context and routes to /choose", async () => {
+    const user = userEvent.setup();
+    render(<AskView />);
+
+    await user.type(
+      screen.getByLabelText(/what do you want to know\?/i),
+      "What are the latest advances in solid-state batteries?",
+    );
+    await user.type(
+      screen.getByLabelText(/anything else it should know\?/i),
+      "Focus on automotive applications",
+    );
+    await user.click(screen.getByRole("button", { name: "Research this" }));
+
+    const carried = getAskState();
+    expect(carried?.question).toBe(
+      "What are the latest advances in solid-state batteries?",
+    );
+    expect(carried?.context).toBe("Focus on automotive applications");
+    await waitFor(() => {
+      expect(pushMock).toHaveBeenCalledWith("/choose");
+    });
+  });
+
+  it("suggestions: open questions render with source attribution", async () => {
+    render(<AskView />);
+    // Open inbox items from the fixtures (3 open of 4 total).
+    expect(
+      await screen.findByText(
+        "Do sulfide electrolytes outperform oxide ceramics below room temperature?",
+      ),
+    ).toBeInTheDocument();
+    // Both run-solid-state suggestions attribute to the same source report.
+    expect(
+      screen.getAllByText(/From your research — Solid-State Battery Advances/i)
+        .length,
+    ).toBe(2);
+    // The done item never appears as a suggestion.
+    expect(
+      screen.queryByText(
+        "How do 2027 deployment targets compare across Japanese and EU consortia?",
+      ),
+    ).toBeNull();
+  });
+
+  it("suggestion click fills the question box — no auto-submit", async () => {
+    const user = userEvent.setup();
+    render(<AskView />);
+
+    const card = await screen.findByRole("button", {
+      name: /Which solid-state startups have shipped pilot cells to automakers\?/i,
+    });
+    await user.click(card);
+
+    // The question box now holds the suggestion — editable.
+    const box = screen.getByLabelText(/what do you want to know\?/i);
+    expect(box).toHaveValue(
+      "Which solid-state startups have shipped pilot cells to automakers?",
+    );
+    // No navigation fired — the user stays in control.
+    expect(pushMock).not.toHaveBeenCalled();
+  });
+
+  it("refine: disabled without a draft, opens with one", async () => {
+    const user = userEvent.setup();
+    render(<AskView />);
+
+    const refine = screen.getByRole("button", { name: /Refine question/i });
+    expect(refine).toBeDisabled();
+
+    await user.type(
+      screen.getByLabelText(/what do you want to know\?/i),
+      "What are the latest advances in solid-state batteries",
+    );
+    expect(refine).toBeEnabled();
+    await user.click(refine);
+    expect(
+      await screen.findByRole("region", { name: /Refine your question/i }),
+    ).toBeInTheDocument();
+  });
+
+  it("refine: full exchange composes; Use this fills the form", async () => {
+    const user = userEvent.setup();
+    render(<AskView />);
+
+    await user.type(
+      screen.getByLabelText(/what do you want to know\?/i),
+      "What are the latest advances in solid-state batteries",
+    );
+    await user.click(screen.getByRole("button", { name: /Refine question/i }));
+    await screen.findByRole("region", { name: /Refine your question/i });
+
+    // Q1 (required): scope.
+    const answer1 = await screen.findByLabelText(/What specific part of this topic matters most to you\?/i);
+    await user.type(answer1, "automotive applications");
+    await user.click(screen.getByRole("button", { name: "Next" }));
+
+    // Q2 (optional): decision.
+    const answer2 = await screen.findByLabelText(/What decision or action will this research inform\?/i);
+    await user.type(answer2, "choosing a supplier for a 2027 EV program");
+    await user.click(screen.getByRole("button", { name: "Next" }));
+
+    // Q3 (optional): depth.
+    const answer3 = await screen.findByLabelText(/How deep should the answer go/i);
+    await user.type(answer3, "an executive summary with verifiable evidence");
+    await user.click(screen.getByRole("button", { name: "Compose question" }));
+
+    // Composition preview appears.
+    expect(
+      await screen.findByText(/— focusing on automotive applications/i),
+    ).toBeInTheDocument();
+
+    // Use this → fills question + context, closes the drawer.
+    await user.click(screen.getByRole("button", { name: "Use this" }));
+    expect(screen.getByLabelText(/what do you want to know\?/i)).toHaveValue(
+      "What are the latest advances in solid-state batteries — focusing on automotive applications",
+    );
+    const contextValue = screen.getByLabelText(
+      /anything else it should know\?/i,
+    );
+    expect(contextValue).toHaveValue(
+      "Feeds this decision: choosing a supplier for a 2027 EV program. Depth wanted: an executive summary with verifiable evidence. Refined through the question dialogue.",
+    );
+    expect(
+      screen.queryByRole("region", { name: /Refine your question/i }),
+    ).toBeNull();
+  });
+
+  it("refine: optional questions are skippable and compose still works", async () => {
+    const user = userEvent.setup();
+    render(<AskView />);
+
+    await user.type(
+      screen.getByLabelText(/what do you want to know\?/i),
+      "Who makes solid-state cells today",
+    );
+    await user.click(screen.getByRole("button", { name: /Refine question/i }));
+    await screen.findByRole("region", { name: /Refine your question/i });
+
+    await user.type(
+      await screen.findByLabelText(/What specific part of this topic matters most to you\?/i),
+      "pilot production",
+    );
+    await user.click(screen.getByRole("button", { name: "Next" }));
+    await user.click(await screen.findByRole("button", { name: "Skip" }));
+    await user.click(await screen.findByRole("button", { name: "Compose question" }));
+
+    expect(
+      await screen.findByText(/— focusing on pilot production/i),
+    ).toBeInTheDocument();
+    // Skipped decision answer does not appear in the composed context.
+    expect(screen.queryByText(/Feeds this decision/i)).toBeNull();
+  });
+
+  it("refine: Keep original leaves the draft untouched", async () => {
+    const user = userEvent.setup();
+    render(<AskView />);
+
+    const DRAFT = "What are the latest advances in solid-state batteries";
+    await user.type(screen.getByLabelText(/what do you want to know\?/i), DRAFT);
+    await user.click(screen.getByRole("button", { name: /Refine question/i }));
+    await screen.findByRole("region", { name: /Refine your question/i });
+
+    // Answer partway, then keep the original.
+    await user.type(
+      await screen.findByLabelText(/What specific part of this topic matters most to you\?/i),
+      "automotive applications",
+    );
+    await user.click(screen.getByRole("button", { name: "Keep original" }));
+
+    expect(screen.getByLabelText(/what do you want to know\?/i)).toHaveValue(DRAFT);
+    expect(
+      screen.queryByRole("region", { name: /Refine your question/i }),
+    ).toBeNull();
+  });
+
+  it("refine: Escape closes the drawer without touching the draft", async () => {
+    const user = userEvent.setup();
+    render(<AskView />);
+
+    const DRAFT = "How good are solid-state batteries";
+    await user.type(screen.getByLabelText(/what do you want to know\?/i), DRAFT);
+    await user.click(screen.getByRole("button", { name: /Refine question/i }));
+    await screen.findByRole("region", { name: /Refine your question/i });
+
+    await user.keyboard("{Escape}");
+    expect(
+      screen.queryByRole("region", { name: /Refine your question/i }),
+    ).toBeNull();
+    expect(screen.getByLabelText(/what do you want to know\?/i)).toHaveValue(DRAFT);
+  });
+
+  it("refine: Enter advances the exchange, never submits the outer form", async () => {
+    const user = userEvent.setup();
+    render(<AskView />);
+
+    await user.type(
+      screen.getByLabelText(/what do you want to know\?/i),
+      "What are the latest advances in solid-state batteries",
+    );
+    await user.click(screen.getByRole("button", { name: /Refine question/i }));
+    const answer = await screen.findByLabelText(/What specific part of this topic matters most to you\?/i);
+    await user.type(answer, "automotive applications");
+
+    // Enter inside the drawer (which lives in the outer <form>) must
+    // advance the exchange — not submit and navigate to /choose.
+    await user.keyboard("{Enter}");
+    expect(pushMock).not.toHaveBeenCalled();
+    expect(
+      await screen.findByLabelText(/What decision or action will this research inform\?/i),
+    ).toBeInTheDocument();
+  });
+
+  it("refine: focus returns to the trigger after the drawer closes", async () => {
+    const user = userEvent.setup();
+    render(<AskView />);
+
+    await user.type(
+      screen.getByLabelText(/what do you want to know\?/i),
+      "What are the latest advances in solid-state batteries",
+    );
+    const refine = screen.getByRole("button", { name: /Refine question/i });
+    await user.click(refine);
+    await screen.findByRole("region", { name: /Refine your question/i });
+
+    await user.keyboard("{Escape}");
+    expect(
+      screen.queryByRole("region", { name: /Refine your question/i }),
+    ).toBeNull();
+    // The keyboard user is not stranded on <body>.
+    expect(refine).toHaveFocus();
+  });
+});
\ No newline at end of file
diff --git a/frontend/src/components/ask-view.tsx b/frontend/src/components/ask-view.tsx
new file mode 100644
index 0000000..19d76fa
--- /dev/null
+++ b/frontend/src/components/ask-view.tsx
@@ -0,0 +1,96 @@
+"use client";
+
+/**
+ * AskView (T-7.2, T-7.3, REQ-55, REQ-67, REQ-68) — the /ask screen client.
+ *
+ * Owns the question + context state so TWO opt-in affordances can fill
+ * the form: open-question suggestions (click → box fills, editable) and
+ * the refine dialogue (inline drawer → composed question + context).
+ * Neither auto-submits — "Research this" stays the one primary action,
+ * so the ≤3-click happy path is untouched.
+ */
+
+import { useRouter } from "next/navigation";
+import { useState } from "react";
+import type { FormEvent } from "react";
+import { AskSuggestions } from "@/components/ask-suggestions";
+import { RefineQuestionButton } from "@/components/refine-question";
+import { setAskState } from "@/lib/ask-store";
+
+export function AskView() {
+  const router = useRouter();
+  const [question, setQuestion] = useState("");
+  const [context, setContext] = useState("");
+  const [submitting, setSubmitting] = useState(false);
+
+  const canSubmit = question.trim().length > 0 && !submitting;
+
+  function handleSubmit(event: FormEvent<HTMLFormElement>) {
+    event.preventDefault();
+    if (!canSubmit) return;
+    setSubmitting(true);
+    setAskState({
+      question: question.trim(),
+      ...(context.trim() !== "" ? { context: context.trim() } : {}),
+    });
+    router.push("/choose");
+  }
+
+  return (
+    <div>
+      <form onSubmit={handleSubmit} className="measure-narrow">
+        <label htmlFor="question" className="block text-body font-medium">
+          What do you want to know?
+        </label>
+        <textarea
+          id="question"
+          name="question"
+          value={question}
+          onChange={(e) => setQuestion(e.target.value)}
+          rows={3}
+          required
+          autoFocus
+          placeholder="e.g. What are the latest advances in solid-state batteries?"
+          className="mt-2 w-full resize-none rounded-card border border-hairline bg-paper-raised px-4 py-3 text-body text-ink placeholder:text-ink-faint"
+        />
+
+        {/* Refine — opt-in, inline, needs a draft to act on (REQ-68). */}
+        <RefineQuestionButton
+          draft={question}
+          onApply={(refined) => {
+            setQuestion(refined.question);
+            if (refined.context.trim() !== "") setContext(refined.context);
+          }}
+        />
+
+        <label
+          htmlFor="context"
+          className="mt-6 block text-small font-medium text-ink-soft"
+        >
+          Anything else it should know?{" "}
+          <span className="text-ink-faint">(optional)</span>
+        </label>
+        <textarea
+          id="context"
+          name="context"
+          value={context}
+          onChange={(e) => setContext(e.target.value)}
+          rows={2}
+          placeholder="Constraints, prior findings, the decision this feeds…"
+          className="mt-2 w-full resize-none rounded-card border border-hairline bg-paper-raised px-4 py-3 text-small text-ink placeholder:text-ink-faint"
+        />
+
+        <button
+          type="submit"
+          disabled={!canSubmit}
+          className="mt-8 rounded-pill bg-accent px-7 py-3 text-body font-medium text-paper-raised transition-colors hover:bg-accent-strong disabled:cursor-not-allowed disabled:opacity-40"
+        >
+          {submitting ? "Opening methodologies…" : "Research this"}
+        </button>
+      </form>
+
+      {/* Suggestions — below the primary action, never competing (REQ-67). */}
+      <AskSuggestions onPick={(suggested) => setQuestion(suggested)} />
+    </div>
+  );
+}
\ No newline at end of file
diff --git a/frontend/src/components/refine-question.tsx b/frontend/src/components/refine-question.tsx
new file mode 100644
index 0000000..734a742
--- /dev/null
+++ b/frontend/src/components/refine-question.tsx
@@ -0,0 +1,297 @@
+"use client";
+
+/**
+ * RefineQuestionButton + RefineDrawer (T-7.3, REQ-68).
+ *
+ * Opt-in question refinement: an inline drawer (the dials-drawer
+ * progressive-disclosure pattern) hosting a back-and-forth exchange —
+ * one clarifying question at a time, then the composed refined
+ * question + suggested context. "Use this" applies the composition to
+ * the form; "Keep original" discards it; the draft is never modified
+ * until the user accepts. Enter advances the exchange (never the outer
+ * form), and focus returns to the trigger when the drawer closes.
+ * Scripted in the prototype — honest caption says the model-driven
+ * version lands in v0.2.
+ */
+
+import { useEffect, useRef, useState } from "react";
+import {
+  api,
+  type RefinedQuestion,
+  type RefinementQuestion,
+} from "@/lib/api/client";
+
+type Exchange =
+  | { stage: "questions"; items: RefinementQuestion[]; index: number; answers: Record<string, string> }
+  | { stage: "composing" }
+  | { stage: "composed"; refined: RefinedQuestion };
+
+export function RefineQuestionButton({
+  draft,
+  onApply,
+}: {
+  draft: string;
+  onApply: (refined: RefinedQuestion) => void;
+}) {
+  const hasDraft = draft.trim().length > 0;
+  const [open, setOpen] = useState(false);
+  const triggerRef = useRef<HTMLButtonElement | null>(null);
+
+  const close = () => {
+    setOpen(false);
+    // Focus returns to the trigger — the drawer never strands the
+    // keyboard user on <body> (house pattern: avatar → UserMenu).
+    triggerRef.current?.focus();
+  };
+
+  return (
+    <>
+      <button
+        ref={triggerRef}
+        type="button"
+        disabled={!hasDraft}
+        onClick={() => setOpen(true)}
+        className="mt-3 rounded-pill border border-hairline bg-paper-raised px-4 py-1.5 text-caption font-medium text-ink-soft transition-colors hover:border-ink-faint hover:text-ink disabled:cursor-not-allowed disabled:opacity-40"
+      >
+        ✎ Refine question
+      </button>
+      {open && (
+        <RefineDrawer
+          draft={draft}
+          onClose={close}
+          onApply={(refined) => {
+            onApply(refined);
+            close();
+          }}
+        />
+      )}
+    </>
+  );
+}
+
+function RefineDrawer({
+  draft,
+  onClose,
+  onApply,
+}: {
+  draft: string;
+  onClose: () => void;
+  onApply: (refined: RefinedQuestion) => void;
+}) {
+  const [exchange, setExchange] = useState<Exchange | null>(null);
+  const [answer, setAnswer] = useState("");
+  const [error, setError] = useState(false);
+  const answerRef = useRef<HTMLInputElement>(null);
+
+  // Load the scripted question set on first open.
+  useEffect(() => {
+    let cancelled = false;
+    api
+      .getRefinementQuestions(draft)
+      .then((items) => {
+        if (!cancelled) {
+          setExchange({ stage: "questions", items, index: 0, answers: {} });
+        }
+      })
+      .catch(() => {
+        if (!cancelled) setError(true);
+      });
+    return () => {
+      cancelled = true;
+    };
+  }, [draft]);
+
+  // Escape closes the drawer — the draft stays untouched.
+  useEffect(() => {
+    const onKey = (event: KeyboardEvent) => {
+      if (event.key === "Escape") onClose();
+    };
+    window.addEventListener("keydown", onKey);
+    return () => window.removeEventListener("keydown", onKey);
+  }, [onClose]);
+
+  // Focus the answer box on every question change.
+  useEffect(() => {
+    if (exchange?.stage === "questions") answerRef.current?.focus();
+  }, [exchange]);
+
+  const current =
+    exchange?.stage === "questions" ? exchange.items[exchange.index] : undefined;
+
+  function submitAnswer() {
+    if (exchange?.stage !== "questions" || current === undefined) return;
+    if (!current.optional && answer.trim() === "") return;
+
+    const answers = { ...exchange.answers, [current.id]: answer.trim() };
+    setAnswer("");
+
+    if (exchange.index + 1 < exchange.items.length) {
+      setExchange({ ...exchange, index: exchange.index + 1, answers });
+      return;
+    }
+    // Last question answered — compose.
+    setExchange({ stage: "composing" });
+    api
+      .composeRefinedQuestion(draft, answers)
+      .then((refined) => {
+        setExchange({ stage: "composed", refined });
+      })
+      .catch(() => {
+        setError(true);
+        setExchange(null);
+      });
+  }
+
+  function restart() {
+    setAnswer("");
+    setError(false);
+    api
+      .getRefinementQuestions(draft)
+      .then((items) => {
+        setExchange({ stage: "questions", items, index: 0, answers: {} });
+      })
+      .catch(() => setError(true));
+  }
+
+  return (
+    <section
+      aria-label="Refine your question"
+      className="mt-3 rounded-card border border-hairline bg-accent-wash px-5 py-5"
+      onKeyDown={(event) => {
+        if (event.key === "Enter" && exchange?.stage === "questions") {
+          event.preventDefault();
+          submitAnswer();
+        }
+      }}
+    >
+      <div className="flex items-baseline justify-between gap-2">
+        <h3 className="text-small font-semibold uppercase tracking-wide text-accent-ink">
+          Refine your question
+        </h3>
+        {exchange?.stage === "questions" && (
+          <p className="text-caption text-ink-faint" role="status">
+            {exchange.index + 1} of {exchange.items.length}
+          </p>
+        )}
+      </div>
+
+      {/* The draft stays visible — the exchange is about THIS text. */}
+      <blockquote className="measure-reading mt-2 border-l-2 border-accent pl-3 text-small text-ink">
+        {draft}
+      </blockquote>
+
+      {error && (
+        <p role="alert" className="mt-3 text-caption text-danger">
+          Refine is unavailable right now — try again.
+        </p>
+      )}
+
+      {exchange === null && !error && (
+        <p className="mt-3 text-caption text-ink-faint">Preparing questions…</p>
+      )}
+
+      {exchange?.stage === "questions" && current !== undefined && (
+        <div className="mt-4">
+          <label
+            htmlFor="refine-answer"
+            className="block text-small font-medium text-ink"
+          >
+            {current.prompt}
+            {!current.optional && (
+              <span className="text-ink-faint"> (required)</span>
+            )}
+          </label>
+          <input
+            ref={answerRef}
+            id="refine-answer"
+            value={answer}
+            onChange={(event) => setAnswer(event.target.value)}
+            onKeyDown={(event) => {
+              // Enter advances the exchange — the input lives inside the
+              // outer <form>, so without this guard Enter would submit
+              // the form and navigate away mid-refine.
+              if (event.key === "Enter") {
+                event.preventDefault();
+                submitAnswer();
+              }
+            }}
+            placeholder={current.placeholder}
+            className="mt-2 w-full rounded-card border border-hairline bg-paper-raised px-3 py-2 text-small text-ink placeholder:text-ink-faint"
+          />
+          <div className="mt-3 flex flex-wrap items-center gap-2">
+            <button
+              type="button"
+              onClick={submitAnswer}
+              disabled={!current.optional && answer.trim() === ""}
+              className="rounded-pill bg-accent px-4 py-1.5 text-caption font-medium text-paper-raised transition-colors hover:bg-accent-strong disabled:cursor-not-allowed disabled:opacity-40"
+            >
+              {exchange.index + 1 < exchange.items.length ? "Next" : "Compose question"}
+            </button>
+            {current.optional && (
+              <button
+                type="button"
+                onClick={submitAnswer}
+                className="rounded-pill border border-hairline px-4 py-1.5 text-caption text-ink-soft transition-colors hover:text-ink"
+              >
+                Skip
+              </button>
+            )}
+            <button
+              type="button"
+              onClick={onClose}
+              className="ml-auto rounded-pill px-3 py-1.5 text-caption text-ink-faint transition-colors hover:text-ink"
+            >
+              Keep original
+            </button>
+          </div>
+        </div>
+      )}
+
+      {exchange?.stage === "composing" && (
+        <p className="mt-4 text-caption text-ink-faint" role="status">
+          Composing your refined question…
+        </p>
+      )}
+
+      {exchange?.stage === "composed" && (
+        <div className="mt-4">
+          <p className="text-caption font-medium text-ink">Refined question</p>
+          <p className="measure-reading mt-1 rounded-card border border-hairline bg-paper-raised px-4 py-3 text-body text-ink">
+            {exchange.refined.question}
+          </p>
+          <p className="mt-3 text-caption font-medium text-ink">Suggested context</p>
+          <p className="measure-reading mt-1 rounded-card border border-hairline bg-paper-raised px-4 py-3 text-small text-ink-soft">
+            {exchange.refined.context}
+          </p>
+          <div className="mt-4 flex flex-wrap items-center gap-2">
+            <button
+              type="button"
+              onClick={() => onApply(exchange.refined)}
+              className="rounded-pill bg-accent px-4 py-1.5 text-caption font-medium text-paper-raised transition-colors hover:bg-accent-strong"
+            >
+              Use this
+            </button>
+            <button
+              type="button"
+              onClick={restart}
+              className="rounded-pill border border-hairline px-4 py-1.5 text-caption text-ink-soft transition-colors hover:text-ink"
+            >
+              Restart
+            </button>
+            <button
+              type="button"
+              onClick={onClose}
+              className="ml-auto rounded-pill px-3 py-1.5 text-caption text-ink-faint transition-colors hover:text-ink"
+            >
+              Keep original
+            </button>
+          </div>
+        </div>
+      )}
+
+      <p className="mt-4 border-t border-hairline pt-2 text-caption text-ink-faint">
+        Scripted refinement in the prototype — model-driven refine lands in v0.2.
+      </p>
+    </section>
+  );
+}
\ No newline at end of file
diff --git a/frontend/src/components/three-click-path.test.tsx b/frontend/src/components/three-click-path.test.tsx
index a6de76e..27da6b5 100644
--- a/frontend/src/components/three-click-path.test.tsx
+++ b/frontend/src/components/three-click-path.test.tsx
@@ -13,7 +13,7 @@
 import { cleanup, render, screen } from "@testing-library/react";
 import userEvent from "@testing-library/user-event";
 import { afterEach, beforeEach, describe, expect, it, vi } from "vitest";
-import { AskForm } from "@/components/ask-form";
+import { AskView } from "@/components/ask-view";
 import { MethodologyCard } from "@/components/methodology-card";
 import { RunView } from "@/components/run-view";
 import { api } from "@/lib/api/client";
@@ -43,7 +43,9 @@ describe("3-click happy path (REQ-61)", () => {
     let clicks = 0;
 
     /* Screen 1 — Ask ***********************************************/
-    const { unmount: unmountAsk } = render(<AskForm />);
+    // Suggestions + refine are opt-in affordances — the default path
+    // (type → submit) never touches them, so the click count holds.
+    const { unmount: unmountAsk } = render(<AskView />);
     const questionBox = screen.getByLabelText(/what do you want to know\?/i);
     await user.type(questionBox, QUESTION);
     // Click 1: Research this — defaults mean empty context is fine.
diff --git a/frontend/src/lib/api/client.ts b/frontend/src/lib/api/client.ts
index 2edffff..1f6249d 100644
--- a/frontend/src/lib/api/client.ts
+++ b/frontend/src/lib/api/client.ts
@@ -14,11 +14,14 @@ import type {
   InboxItem,
   Methodology,
   ProjectGraph,
+  RefinementQuestion,
+  RefinedQuestion,
   Report,
   ReportConnection,
   ReportLibrary,
   ResearchRun,
   Settings,
+  SuggestedQuery,
   TraceEvent,
   UserProfile,
 } from "@/lib/types";
@@ -35,6 +38,8 @@ export type {
   InboxItem,
   Methodology,
   ProjectGraph,
+  RefinementQuestion,
+  RefinedQuestion,
   ReportConnection,
   ReportConnectionKind,
   ReportFolder,
@@ -45,6 +50,7 @@ export type {
   RunPlan,
   RunStatus,
   Settings,
+  SuggestedQuery,
   Task,
   TraceEvent,
   UserProfile,
@@ -148,6 +154,29 @@ export interface ApiClient {
    * responses — masked values only.
    */
   saveSettings(update: Partial<Settings>): Promise<Settings>;
+
+  /**
+   * Follow-up query suggestions for the New Research view —
+   * derived from unanswered open questions of past runs
+   * (maps to GET /api/suggestions in v0.2 — REQ-67).
+   */
+  getSuggestedQueries(): Promise<SuggestedQuery[]>;
+
+  /**
+   * The clarifying questions for the refine dialogue, keyed to the
+   * draft (maps to POST /api/refine/questions in v0.2 — REQ-68).
+   */
+  getRefinementQuestions(draft: string): Promise<RefinementQuestion[]>;
+
+  /**
+   * Compose the refined question + suggested context from the
+   * exchange answers (maps to POST /api/refine/compose in v0.2,
+   * model-driven there; deterministic in the prototype — REQ-68).
+   */
+  composeRefinedQuestion(
+    draft: string,
+    answers: Record<string, string>,
+  ): Promise<RefinedQuestion>;
 }
 
 /**
diff --git a/frontend/src/lib/api/mock/ask-boundary.test.ts b/frontend/src/lib/api/mock/ask-boundary.test.ts
new file mode 100644
index 0000000..c91b79d
--- /dev/null
+++ b/frontend/src/lib/api/mock/ask-boundary.test.ts
@@ -0,0 +1,85 @@
+/**
+ * Boundary tests for the P7 ask-intelligence surface (T-7.1, REQ-67, REQ-68).
+ *
+ * Suggestions derive from OPEN inbox items with source attribution;
+ * done items drop out. The refine dialogue returns its scripted
+ * question set and composes deterministically — skipped optional
+ * answers degrade gracefully, the non-optional scope always weaves in.
+ */
+
+import { describe, expect, it } from "vitest";
+import { api } from "@/lib/api/client";
+import type { ApiClient } from "@/lib/api/client";
+import { taskInboxFixture } from "@/lib/api/mock/library-fixtures";
+
+const client: ApiClient = api;
+
+describe("getSuggestedQueries (REQ-67)", () => {
+  it("derives suggestions from open inbox items only", async () => {
+    const suggestions = await client.getSuggestedQueries();
+    const openItems = taskInboxFixture.filter((i) => i.status !== "done");
+    expect(suggestions).toHaveLength(openItems.length);
+    const openQuestions = new Set(openItems.map((i) => i.question));
+    for (const suggestion of suggestions) {
+      expect(openQuestions).toContain(suggestion.question);
+    }
+  });
+
+  it("attributes each suggestion to its source report", async () => {
+    const suggestions = await client.getSuggestedQueries();
+    expect(suggestions.length).toBeGreaterThan(0);
+    for (const suggestion of suggestions) {
+      expect(suggestion.sourceRunId).toBeTruthy();
+      expect(suggestion.sourceReportTitle.length).toBeGreaterThan(0);
+    }
+  });
+});
+
+describe("getRefinementQuestions (REQ-68)", () => {
+  it("returns the scripted 3-question exchange", async () => {
+    const questions = await client.getRefinementQuestions("How do batteries work?");
+    expect(questions).toHaveLength(3);
+    const first = questions[0];
+    if (first === undefined) throw new Error("no refinement questions");
+    expect(first.prompt.length).toBeGreaterThan(0);
+    expect(first.placeholder.length).toBeGreaterThan(0);
+    // The scope question is required; the rest are skippable.
+    expect(questions.filter((q) => !q.optional).map((q) => q.id)).toEqual([
+      "scope",
+    ]);
+  });
+});
+
+describe("composeRefinedQuestion (REQ-68)", () => {
+  const DRAFT = "What are the latest advances in solid-state batteries";
+
+  it("weaves the scope into the question and answers into context", async () => {
+    const refined = await client.composeRefinedQuestion(DRAFT, {
+      scope: "automotive applications",
+      decision: "choosing a supplier for a 2027 EV program",
+      depth: "an executive summary with verifiable evidence",
+    });
+    expect(refined.question).toBe(
+      "What are the latest advances in solid-state batteries — focusing on automotive applications",
+    );
+    expect(refined.context).toContain("choosing a supplier for a 2027 EV program");
+    expect(refined.context).toContain(
+      "an executive summary with verifiable evidence",
+    );
+  });
+
+  it("degrades gracefully when optional answers are skipped", async () => {
+    const refined = await client.composeRefinedQuestion(DRAFT, {
+      scope: "grid storage",
+    });
+    expect(refined.question).toBe(`${DRAFT} — focusing on grid storage`);
+    expect(refined.context).not.toContain("Feeds this decision");
+    expect(refined.context).not.toContain("Depth wanted");
+  });
+
+  it("keeps the draft intact when no answers are given", async () => {
+    const refined = await client.composeRefinedQuestion(DRAFT, {});
+    expect(refined.question).toBe(DRAFT);
+    expect(refined.context).toContain("Refined through the question dialogue");
+  });
+});
\ No newline at end of file
diff --git a/frontend/src/lib/api/mock/ask-fixtures.ts b/frontend/src/lib/api/mock/ask-fixtures.ts
new file mode 100644
index 0000000..9394c2e
--- /dev/null
+++ b/frontend/src/lib/api/mock/ask-fixtures.ts
@@ -0,0 +1,100 @@
+/**
+ * Ask-intelligence fixtures (T-7.1, REQ-67, REQ-68).
+ *
+ * Suggested queries derive from OPEN task-inbox items joined with
+ * their source reports (the unanswered-questions contract). The
+ * refine dialogue is a scripted 3-question exchange with a
+ * deterministic composer — the model-driven version is v0.2.
+ */
+
+import type {
+  RefinementQuestion,
+  RefinedQuestion,
+  SuggestedQuery,
+} from "@/lib/types";
+import { reportLibraryFixture } from "@/lib/api/mock/shell-fixtures";
+import { taskInboxFixture } from "@/lib/api/mock/library-fixtures";
+
+/* ------------------------------------------------------------------ */
+/* Suggested queries (REQ-67)                                          */
+/* ------------------------------------------------------------------ */
+
+/**
+ * Build suggestions from open inbox items: each unanswered question
+ * becomes a suggested query, attributed to its source report.
+ */
+export function buildSuggestedQueries(): SuggestedQuery[] {
+  const titleByRunId = new Map(
+    reportLibraryFixture.reports.map((r) => [r.runId, r.title] as const),
+  );
+  return taskInboxFixture
+    .filter((item) => item.status !== "done")
+    .map((item) => ({
+      id: `sug-${item.id}`,
+      question: item.question,
+      sourceRunId: item.sourceRunId,
+      sourceReportTitle: titleByRunId.get(item.sourceRunId) ?? "a past run",
+    }));
+}
+
+/* ------------------------------------------------------------------ */
+/* Refine dialogue (REQ-68) — scripted in the prototype                 */
+/* ------------------------------------------------------------------ */
+
+/**
+ * The scripted clarifying questions. Generic enough to apply to any
+ * research draft: scope, decision, and depth — the three answers a
+ * good research question bakes in.
+ */
+export const refinementQuestionsFixture: RefinementQuestion[] = [
+  {
+    id: "scope",
+    prompt: "What specific part of this topic matters most to you?",
+    placeholder: "e.g. just automotive applications, not consumer devices",
+    optional: false,
+  },
+  {
+    id: "decision",
+    prompt: "What decision or action will this research inform?",
+    placeholder: "e.g. choosing a battery supplier for a 2027 EV program",
+    optional: true,
+  },
+  {
+    id: "depth",
+    prompt: "How deep should the answer go — a quick memo or a full report?",
+    placeholder: "e.g. executive summary with evidence I can verify",
+    optional: true,
+  },
+];
+
+/**
+ * Deterministic composer: weave the answers into the draft question
+ * plus a suggested context block. Answers are optional-terminated so
+ * a half-answered exchange still composes (skipped questions drop).
+ */
+export function composeRefinedQuestion(
+  draft: string,
+  answers: Record<string, string>,
+): RefinedQuestion {
+  const scope = answers.scope?.trim();
+  const decision = answers.decision?.trim();
+  const depth = answers.depth?.trim();
+
+  // Question: draft + the specific scope (the one non-optional dial).
+  const question =
+    scope && scope.length > 0
+      ? `${draft.trim()} — focusing on ${scope}`
+      : draft.trim();
+
+  // Context: the remaining answers, assembled as guidance lines.
+  const contextLines: string[] = [];
+  if (decision && decision.length > 0) {
+    contextLines.push(`Feeds this decision: ${decision}.`);
+  }
+  if (depth && depth.length > 0) {
+    contextLines.push(`Depth wanted: ${depth}.`);
+  }
+  contextLines.push("Refined through the question dialogue.");
+
+  return { question, context: contextLines.join(" ") };
+}
\ No newline at end of file
diff --git a/frontend/src/lib/api/mock/mock-client.ts b/frontend/src/lib/api/mock/mock-client.ts
index a19312a..1681cc0 100644
--- a/frontend/src/lib/api/mock/mock-client.ts
+++ b/frontend/src/lib/api/mock/mock-client.ts
@@ -7,6 +7,11 @@
  */
 
 import type { ApiClient, CreateRunInput } from "@/lib/api/client";
+import {
+  buildSuggestedQueries,
+  composeRefinedQuestion,
+  refinementQuestionsFixture,
+} from "@/lib/api/mock/ask-fixtures";
 import { methodologyFixtures, findMethodologyBySlug } from "@/lib/api/mock/fixtures";
 import {
   projectGraphFixture,
@@ -31,11 +36,14 @@ import type {
   InboxItem,
   Methodology,
   ProjectGraph,
+  RefinementQuestion,
+  RefinedQuestion,
   Report,
   ReportConnection,
   ReportLibrary,
   ResearchRun,
   Settings,
+  SuggestedQuery,
   TraceEvent,
   UserProfile,
 } from "@/lib/types";
@@ -300,6 +308,32 @@ export class MockApiClient implements ApiClient {
   /** Session-persisted settings (mock-local). */
   #settings: Settings = structuredClone(settingsFixture);
 
+  /**
+   * Follow-up suggestions from unanswered open questions (REQ-67).
+   * Derived live from the inbox fixtures — a completed item drops
+   * out of suggestions automatically.
+   */
+  async getSuggestedQueries(): Promise<SuggestedQuery[]> {
+    return structuredClone(buildSuggestedQueries());
+  }
+
+  /** The scripted refine-dialogue questions (REQ-68). */
+  async getRefinementQuestions(
+    // Draft keys the question set in v0.2; the prototype set is static.
+    _draft: string,
+  ): Promise<RefinementQuestion[]> {
+    void _draft;
+    return structuredClone(refinementQuestionsFixture);
+  }
+
+  /** Deterministic refine composer (REQ-68; model-driven in v0.2). */
+  async composeRefinedQuestion(
+    draft: string,
+    answers: Record<string, string>,
+  ): Promise<RefinedQuestion> {
+    return composeRefinedQuestion(draft, answers);
+  }
+
   /** The scripted run for the prototype's demo question. */
   #defaultRun(): ResearchRun {
     return buildScriptedRun({
diff --git a/frontend/src/lib/types.ts b/frontend/src/lib/types.ts
index a754d38..d631c6d 100644
--- a/frontend/src/lib/types.ts
+++ b/frontend/src/lib/types.ts
@@ -407,3 +407,40 @@ export interface UserProfile {
   tagline: string;
 }
 
+/* ------------------------------------------------------------------ */
+/* Ask intelligence (P7 vocabulary — REQ-67, REQ-68)                   */
+/* ------------------------------------------------------------------ */
+
+/**
+ * A follow-up query suggestion on the New Research view — derived
+ * from an unanswered open question (task-inbox item) of a past run.
+ */
+export interface SuggestedQuery {
+  id: string;
+  /** The suggested question text — loaded into the question box. */
+  question: string;
+  /** The run the open question came from. */
+  sourceRunId: string;
+  /** Source report title for attribution ("from your research"). */
+  sourceReportTitle: string;
+}
+
+/** One clarifying question in the refine dialogue. */
+export interface RefinementQuestion {
+  id: string;
+  /** The clarifying question shown to the user. */
+  prompt: string;
+  /** Input hint for the answer box. */
+  placeholder: string;
+  /** True when an answer may be skipped (the composer tolerates it). */
+  optional: boolean;
+}
+
+/** The composed result of a completed refine exchange. */
+export interface RefinedQuestion {
+  /** The refined research question. */
+  question: string;
+  /** Suggested context assembled from the answers. */
+  context: string;
+}
+