fix(status): show a strip when the homeserver hangs, not 110 s later (#317)

A hung Synapse (accepts connections, never answers) kept sync SYNCING
for up to 110 s (pollTimeout 30 s + the SDK's 80 s buffer), so no strip
showed and Kuma was never asked. A watchdog now notices a /sync overdue
by 45 s, confirms with a 5 s GET /_matrix/client/versions, then shows
"Lotus Chat's server isn't responding…" and polls Kuma at once.

Fixes #317

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_017PCb59uY3UKqDqt7B6hzd5

src/app/features/server-status/ServerStatusBanner.tsx

@@ -9,6 +9,7 @@ import { useServerStatus } from '../../hooks/useServerStatus';
 import { ScreenSize, useScreenSizeContext } from '../../hooks/useScreenSize';
 import { serverStatusAtom } from '../../state/serverStatus';
 import { pickBanner, resolveStatusPage, StatusBanner } from '../../utils/kumaStatus';
+import { homeserverStalledAtom, useHomeserverStall } from '../../hooks/useHomeserverStall';
 
 const DISMISS_KEY = 'lotus-status-banner-dismissed';
 const DISMISS_MAX = 50;
@@ -163,7 +164,12 @@ export function ServerStatusFeature({ mx }: { mx: MatrixClient }) {
       });
     }, []),
   );
-  const syncLost = lostAt !== null;
+  // [Gitea #317] A hung server keeps sync "SYNCING" for up to 110 s; the stall
+  // watchdog flags it sooner, and Kuma is asked at once.
+  const stalled = useHomeserverStall(mx);
+  const setStalled = useSetAtom(homeserverStalledAtom);
+  useEffect(() => setStalled(stalled), [setStalled, stalled]);
+  const syncLost = lostAt !== null || stalled;
   const status = useServerStatus(page, syncLost);
   const setAtom = useSetAtom(serverStatusAtom);
   useEffect(() => setAtom({ status, syncLost, lostAt }), [setAtom, status, syncLost, lostAt]);