fix(coach): drop the search field from the conversations panel

The panel lists the history grouped by recency with load-more, rename
and delete; title search stays on the full /coach/conversations page.

e2e/coach-layout.spec.ts

@@ -472,7 +472,7 @@ test.describe("Coach page frame", () => {
       expect(Math.abs(closed.composer - open.composer)).toBeLessThanOrEqual(1);
       // Closed, nothing inside the panel is reachable.
       await expect(
-        panel(page).locator('[data-slot="coach-history-search"]'),
+        panel(page).locator('[data-slot="coach-history-select"]').first(),
       ).not.toBeInViewport();
       await expectNoSidewaysScroll(page);
       await shot(page, testInfo, `coach-frame-${width}-closed`);
@@ -484,7 +484,10 @@ test.describe("Coach page frame", () => {
       // Open again, then Escape from inside closes it, focus to the toggle.
       await toggle(page).click();
       await expect(panel(page)).toHaveAttribute("data-state", "open");
-      await panel(page).locator('[data-slot="coach-history-search"]').focus();
+      await panel(page)
+        .locator('[data-slot="coach-history-select"]')
+        .first()
+        .focus();
       await page.keyboard.press("Escape");
       await expect(panel(page)).toHaveAttribute("data-state", "closed");
       await expect(toggle(page)).toBeFocused();

src/components/insights/coach-panel/__tests__/history-rail.test.tsx

@@ -141,15 +141,15 @@ describe("<HistoryRail>", () => {
     expect(html).toContain("Your conversations will appear here.");
   });
 
-  it("mounts the search input with the localised placeholder", () => {
+  it("carries no search field (search lives on the full conversations page)", () => {
     const client = makeClientWithConversations(samplePage);
     const html = render(
       <HistoryRail activeId={null} onSelect={() => {}} />,
       client,
     );
-    expect(html).toMatch(
-      /data-slot="coach-history-search"[^>]*placeholder="Search conversations…"/,
-    );
+    expect(html).toContain('data-slot="coach-history-list"');
+    expect(html).not.toContain('type="search"');
+    expect(html).not.toContain("Search conversations");
   });
 
   it("uses German strings when locale is 'de'", () => {

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

@@ -176,7 +176,7 @@ export function CoachDrawer({
 
   // v1.21.4 (Coach-UI B) — the drawer's "Conversations" affordance now hands
   // off to the dedicated conversation-history page (`/coach/conversations`),
-  // which renders the search + recency-grouped list as a sibling of the
+  // which renders the recency-grouped list as a sibling of the
   // Coach page. The former `?view=conversations` in-page slide-in drawer is
   // gone; selecting a row there routes back to `/coach?c=<id>`.
   const handleOpenConversations = useCallback(() => {

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

@@ -366,9 +366,8 @@ export function ConversationsPanel({
             data-slot="coach-conversations-panel"
             className="w-[22rem] max-w-[90vw] gap-0 p-0 sm:max-w-[22rem]"
             onOpenAutoFocus={(event) => {
-              // Land on the sheet itself, not its first control: on a phone
-              // focusing the search field would raise the keyboard over the
-              // list the person opened the sheet to read.
+              // Land on the sheet itself, not its first control, so opening
+              // the sheet does not paint a focus ring on a header button.
               event.preventDefault();
               (event.currentTarget as HTMLElement | null)?.focus();
             }}

src/components/insights/coach-panel/history-rail.tsx

@@ -8,7 +8,6 @@ import {
   Paperclip,
   Pencil,
   RotateCw,
-  Search,
   Trash2,
 } from "lucide-react";
 import { toast } from "sonner";
@@ -20,10 +19,8 @@ import {
   DropdownMenuItem,
   DropdownMenuTrigger,
 } from "@/components/ui/dropdown-menu";
-import { Input } from "@/components/ui/input";
 import { cn } from "@/lib/utils";
 import { useTranslations } from "@/lib/i18n/context";
-import { useDebouncedValue } from "@/hooks/use-debounced-value";
 import { useLoadMoreSentinel } from "@/hooks/use-load-more-sentinel";
 import type { CoachConversationDTO } from "@/lib/ai/coach/types";
 import { groupConversationsByRecency } from "@/lib/insights/coach-conversation-groups";
@@ -36,14 +33,14 @@ import {
 } from "./use-coach";
 
 /**
- * The Coach's conversation list: search, the full history grouped by recency
+ * The Coach's conversation list: the full history grouped by recency
  * (Today / Yesterday / This week / Earlier), and one row per conversation with
  * a "⋯" menu for Rename and Delete.
  *
  * It fills the Coach page's conversations panel and the drawer's history
  * tray. The history is cursor-paginated (`useInfiniteQuery`, loaded as the
- * list scrolls near its end) and searched server-side on the title, debounced
- * 200 ms.
+ * list scrolls near its end). Title search lives on the standalone
+ * `/coach/conversations` page, not here.
  *
  * Rename edits the title in place (`ConversationRename`, Enter saves, Escape
  * cancels without closing the panel around it) and returns focus to the row's
@@ -88,8 +85,6 @@ export function HistoryRail({
   onUndoDeleteActive,
 }: HistoryRailProps) {
   const { t } = useTranslations();
-  const [filter, setFilter] = useState<string>("");
-  const debouncedFilter = useDebouncedValue(filter, 200);
   const {
     conversations,
     isLoading,
@@ -98,19 +93,17 @@ export function HistoryRail({
     hasNextPage,
     isFetchingNextPage,
     fetchNextPage,
-  } = useCoachConversationHistory({ search: debouncedFilter });
+  } = useCoachConversationHistory();
   const ownDeletion = useDeleteCoachConversationWithUndo();
   const { pendingDeleteIds, requestDelete, undoDelete } =
     deletion ?? ownDeletion;
 
-  // `pendingDeleteIds` hides rows inside the undo window; the server-side
-  // search already resolved everything else.
+  // `pendingDeleteIds` hides rows inside the undo window.
   const visible = useMemo(
     () => conversations.filter((c) => !pendingDeleteIds.has(c.id)),
     [conversations, pendingDeleteIds],
   );
   const groups = useMemo(() => groupConversationsByRecency(visible), [visible]);
-  const isSearching = debouncedFilter.trim().length > 0;
 
   // A `useState`-backed callback ref so the sentinel hook re-runs once the
   // scroll container exists (null on the very first render).
@@ -153,21 +146,6 @@ export function HistoryRail({
           {t("insights.coach.historyTitle")}
         </h3>
       )}
-      <div className="relative w-full">
-        <Search
-          aria-hidden="true"
-          className="text-muted-foreground pointer-events-none absolute top-1/2 left-3 size-4 -translate-y-1/2"
-        />
-        <Input
-          type="search"
-          value={filter}
-          onChange={(e) => setFilter(e.target.value)}
-          placeholder={t("insights.coach.historySearchPlaceholder")}
-          aria-label={t("insights.coach.historySearchPlaceholder")}
-          data-slot="coach-history-search"
-          className="h-10 w-full pl-9"
-        />
-      </div>
       <div
         ref={setListNode}
         data-slot="coach-history-list"
@@ -202,9 +180,7 @@ export function HistoryRail({
             data-slot="coach-history-empty"
             className="text-muted-foreground px-2 py-3 text-sm leading-relaxed"
           >
-            {isSearching
-              ? t("insights.coach.historySearchEmpty")
-              : t("insights.coach.historyEmpty")}
+            {t("insights.coach.historyEmpty")}
           </p>
         ) : (
           groups.map((group) => (