feat(coach): deep-link the Coach page into a conversation

The Coach page opened a blank new chat regardless of where the user came
from. Make it a deep-link target: a `?c=<id>` query param opens that
thread on mount, and absent it the page auto-opens the user's most-recent
conversation. "Most recent" is the `updatedAt desc` head of the rail
list, so the same thread opens on web and mobile.

The shared conversation surface grows two additive props
(`initialConversationId`, `autoOpenMostRecent`) that feed its existing
selection state; the history drawer's selection stays the single source of
truth. The drawer surface is unchanged — both props default off and the
rail list is only fetched when auto-open is requested.

src/components/insights/coach-panel/__tests__/coach-conversation-deeplink.test.tsx

@@ -0,0 +1,138 @@
+import { describe, it, expect } from "vitest";
+import { renderToStaticMarkup } from "react-dom/server";
+import { QueryClient, QueryClientProvider } from "@tanstack/react-query";
+
+import { I18nProvider } from "@/lib/i18n/context";
+import { CoachConversation } from "../coach-conversation";
+import type {
+  CoachConversationsPage,
+  CoachConversationDetailDTO,
+} from "@/lib/ai/coach/types";
+
+/**
+ * v1.18.11 (W11, #67) — the Coach page is a deep-link target INTO a
+ * conversation. These tests pin the selection contract on the shared
+ * `<CoachConversation>` page surface:
+ *
+ *   - `initialConversationId` opens that exact thread on mount (the `?c=`
+ *     deep-link the dashboard Coach entry carries).
+ *   - `autoOpenMostRecent` opens the server-authoritative most-recent thread
+ *     (the `updatedAt desc` head of the rail list) when no id is pinned.
+ *   - With neither, the surface keeps the new-chat hero.
+ *
+ * Selection is observed through the rendered output: an open thread paints
+ * the docked page composer (`coach-page-composer`) and NOT the new-chat hero
+ * (`coach-hero`). The cache is seeded so SSR renders the resolved state in a
+ * single pass — no real network call.
+ */
+
+const RAIL: CoachConversationsPage = {
+  conversations: [
+    {
+      id: "recent",
+      title: "Most recent thread",
+      createdAt: "2026-06-20T08:00:00.000Z",
+      updatedAt: "2026-06-20T09:00:00.000Z",
+      messageCount: 3,
+    },
+    {
+      id: "older",
+      title: "Older thread",
+      createdAt: "2026-06-18T08:00:00.000Z",
+      updatedAt: "2026-06-18T08:05:00.000Z",
+      messageCount: 2,
+    },
+  ],
+  nextCursor: null,
+};
+
+function detail(id: string, title: string): CoachConversationDetailDTO {
+  return {
+    id,
+    title,
+    createdAt: "2026-06-20T08:00:00.000Z",
+    updatedAt: "2026-06-20T09:00:00.000Z",
+    messages: [
+      {
+        id: `${id}-m1`,
+        role: "user",
+        content: `question in ${title}`,
+        createdAt: "2026-06-20T08:00:00.000Z",
+        metricSource: null,
+        tokensUsed: null,
+      },
+    ],
+  } as unknown as CoachConversationDetailDTO;
+}
+
+function makeClient(): QueryClient {
+  const client = new QueryClient({
+    defaultOptions: { queries: { retry: false } },
+  });
+  client.setQueryData(["coachConversations"], RAIL);
+  client.setQueryData(
+    ["coachConversation", "recent"],
+    detail("recent", "Most recent thread"),
+  );
+  client.setQueryData(
+    ["coachConversation", "older"],
+    detail("older", "Older thread"),
+  );
+  // The composer's pending-questions query — keep it empty so the hero gate
+  // is decided purely by the active conversation id.
+  client.setQueryData(["coach-about-me", "questions"], { questions: [] });
+  return client;
+}
+
+function render(node: React.ReactNode, client: QueryClient): string {
+  return renderToStaticMarkup(
+    <I18nProvider initialLocale="en">
+      <QueryClientProvider client={client}>{node}</QueryClientProvider>
+    </I18nProvider>,
+  );
+}
+
+describe("<CoachConversation> page deep-link (#67)", () => {
+  it("opens a specific thread when initialConversationId is set", () => {
+    const html = render(
+      <CoachConversation surface="page" initialConversationId="older" />,
+      makeClient(),
+    );
+    // The pinned thread is open: docked composer, no new-chat hero.
+    expect(html).toContain('data-slot="coach-page-composer"');
+    expect(html).not.toContain('data-slot="coach-hero"');
+  });
+
+  it("auto-opens the most-recent thread when none is pinned", () => {
+    const html = render(
+      <CoachConversation surface="page" autoOpenMostRecent />,
+      makeClient(),
+    );
+    // Resolves to the rail's updatedAt-desc head — thread open, hero gone.
+    expect(html).toContain('data-slot="coach-page-composer"');
+    expect(html).not.toContain('data-slot="coach-hero"');
+  });
+
+  it("keeps the new-chat hero when there is nothing to open", () => {
+    const client = new QueryClient({
+      defaultOptions: { queries: { retry: false } },
+    });
+    client.setQueryData(["coachConversations"], {
+      conversations: [],
+      nextCursor: null,
+    });
+    client.setQueryData(["coach-about-me", "questions"], { questions: [] });
+    const html = render(
+      <CoachConversation surface="page" autoOpenMostRecent />,
+      client,
+    );
+    expect(html).toContain('data-slot="coach-hero"');
+  });
+
+  it("does not auto-open when autoOpenMostRecent is off (new chat)", () => {
+    const html = render(<CoachConversation surface="page" />, makeClient());
+    // No pin, no auto-open → the surface stays on the new-chat hero even
+    // though recent conversations exist in the cache.
+    expect(html).toContain('data-slot="coach-hero"');
+  });
+});

src/components/insights/coach-panel/coach-conversation.tsx

@@ -37,7 +37,11 @@ import { MobileRailTray } from "./mobile-rail-tray";
 import { SelfContextAdoptOffer } from "./self-context-adopt-offer";
 import { SourcesRail } from "./sources-rail";
 import { useResettableValue } from "./use-resettable-value";
-import { useCoachConversation, useSendCoachMessage } from "./use-coach";
+import {
+  useCoachConversation,
+  useCoachConversations,
+  useSendCoachMessage,
+} from "./use-coach";
 
 /**
  * v1.12.0 (Coach v2 #6) — shared chat surface for both the Coach drawer
@@ -112,6 +116,27 @@ export interface CoachConversationProps {
   className?: string;
   /** data-variant on the root, surfaced for e2e + styling hooks. */
   surface: "drawer" | "page";
+  /**
+   * v1.18.11 (W11, #67) — open a specific conversation on mount. The page
+   * surface reads it from the `?c=` deep-link the dashboard Coach entry
+   * carries, so a tap lands the user directly in that thread instead of a
+   * blank new chat. Seeds the same `currentConversationId` the history
+   * drawer drives, so the drawer's selection stays the single source of
+   * truth; the URL param is just one more way to set it. Null/undefined
+   * leaves the selection alone (new-chat, or auto-most-recent below).
+   */
+  initialConversationId?: string | null;
+  /**
+   * v1.18.11 (W11, #67) — when no `initialConversationId` is given, open
+   * the user's MOST-RECENT conversation once the shared rail list resolves.
+   * This is what makes the dashboard Coach entry land the user IN their
+   * conversation cross-device: "most recent" is the server-authoritative
+   * `updatedAt desc` head of `GET /api/insights/chat`, identical on web and
+   * mobile — no client-only state. An account with no conversations falls
+   * through to the new-chat hero. Resolves exactly once per mount so a later
+   * "new chat" or thread switch is never overridden.
+   */
+  autoOpenMostRecent?: boolean;
 }
 
 export function CoachConversation({
@@ -125,12 +150,14 @@ export function CoachConversation({
   onRequestFullView,
   className,
   surface,
+  initialConversationId,
+  autoOpenMostRecent = false,
 }: CoachConversationProps) {
   const { t } = useTranslations();
 
   const [currentConversationId, setCurrentConversationId] = useState<
     string | null
-  >(null);
+  >(initialConversationId ?? null);
   const [historyTrayOpen, setHistoryTrayOpen] = useState(false);
   const [sourcesTrayOpen, setSourcesTrayOpen] = useState(false);
   // v1.18.11 (W11) — page surface only: conversation history is a LEFT
@@ -187,6 +214,26 @@ export function CoachConversation({
     },
   });
 
+  // v1.18.11 (W11, #67) — auto-open the most-recent conversation when the
+  // surface mounts with no explicit selection. Only fetches the rail list
+  // when the behaviour is requested AND no deep-linked id was supplied, so
+  // the drawer's default new-chat mount pays nothing for it.
+  const autoOpenEnabled = autoOpenMostRecent && !initialConversationId;
+  const { conversations: railConversations } =
+    useCoachConversations(autoOpenEnabled);
+  // Resolve once per mount via the in-render setState pattern (the
+  // `react-hooks/set-state-in-effect` rule rejects setState inside an effect
+  // when the source is a query result; see `coach-prefs-section.tsx`). The
+  // latch flips the first time the rail list arrives so a subsequent "new
+  // chat" or thread switch is never clobbered by a late list refetch.
+  const [autoOpenResolved, setAutoOpenResolved] = useState(false);
+  if (autoOpenEnabled && !autoOpenResolved && railConversations.length > 0) {
+    setAutoOpenResolved(true);
+    // Server-authoritative `updatedAt desc` head = the same thread the rail
+    // shows first, identical on every device.
+    setCurrentConversationId(railConversations[0].id);
+  }
+
   // Hand the chrome an imperative reset so the drawer can abort the
   // in-flight SSE stream + clear the thread on close. Re-registered when
   // the closed-over state setters / send hook change identity so the