fix(web): clear the saved-badge reset timer on unmount

CI 2891 failed on an unhandled ReferenceError: the 2s
setTimeout(() => setSaveState('idle')) in the settings tabs fired after
jsdom teardown. Replace the three uncleaned timers with one
useSavedBadgeReset effect hook that clears on unmount.

apps/web/src/spa/pages/settings.tsx

@@ -57,6 +57,16 @@ function prefValue<T>(prefs: Preference[], key: string, fallback: T): T {
   return p.value as T;
 }
 
+// The reset must not outlive the tab: an uncleared setTimeout fires into a
+// torn-down environment (unmount, or jsdom teardown under vitest).
+function useSavedBadgeReset(saveState: SaveState, setSaveState: (s: SaveState) => void): void {
+  useEffect(() => {
+    if (saveState !== 'saved') return undefined;
+    const timer = setTimeout(() => setSaveState('idle'), 2000);
+    return () => clearTimeout(timer);
+  }, [saveState, setSaveState]);
+}
+
 // ─── Main Page ────────────────────────────────────────────────────────────────
 
 export function SettingsPage(): React.ReactElement {
@@ -111,6 +121,7 @@ function ProfileTab({
   const [image, setImage] = useState(session?.user.image ?? '');
   const [saveState, setSaveState] = useState<SaveState>('idle');
   const [errorMsg, setErrorMsg] = useState('');
+  useSavedBadgeReset(saveState, setSaveState);
 
   // Sync from session when it loads
   useEffect(() => {
@@ -131,7 +142,6 @@ function ProfileTab({
         return;
       }
       setSaveState('saved');
-      setTimeout(() => setSaveState('idle'), 2000);
     } catch (err: unknown) {
       const message = err instanceof Error ? err.message : 'Failed to update profile';
       setErrorMsg(message);
@@ -194,6 +204,7 @@ function AppearanceTab(): React.ReactElement {
   const [defaultModel, setDefaultModel] = useState('');
   const [saveState, setSaveState] = useState<SaveState>('idle');
   const [errorMsg, setErrorMsg] = useState('');
+  useSavedBadgeReset(saveState, setSaveState);
 
   useEffect(() => {
     api<Preference[]>('/api/memory/preferences?category=appearance')
@@ -239,7 +250,6 @@ function AppearanceTab(): React.ReactElement {
           : []),
       ]);
       setSaveState('saved');
-      setTimeout(() => setSaveState('idle'), 2000);
     } catch (err: unknown) {
       const message = err instanceof Error ? err.message : 'Failed to save preferences';
       setErrorMsg(message);
@@ -323,6 +333,7 @@ function NotificationsTab(): React.ReactElement {
   const [emailDigest, setEmailDigest] = useState(false);
   const [saveState, setSaveState] = useState<SaveState>('idle');
   const [errorMsg, setErrorMsg] = useState('');
+  useSavedBadgeReset(saveState, setSaveState);
 
   useEffect(() => {
     api<Preference[]>('/api/memory/preferences?category=communication')
@@ -369,7 +380,6 @@ function NotificationsTab(): React.ReactElement {
         }),
       ]);
       setSaveState('saved');
-      setTimeout(() => setSaveState('idle'), 2000);
     } catch (err: unknown) {
       const message = err instanceof Error ? err.message : 'Failed to save preferences';
       setErrorMsg(message);