docs(docs): fix cursor handling and hover tip refactor in docs UI components

apps/docs/lib/stats.ts

@@ -66,10 +66,12 @@ let request: Promise<Stats | null> | undefined;
 export function useStats(): Load {
   const [load, setLoad] = useState<Load>({ phase: "loading" });
   useEffect(() => {
-    request ??= fetch(`${API_BASE}/api/stats`)
-      .then((res) => (res.ok ? res.json() : null))
-      .then((body: unknown) => (isStats(body) ? body : null))
-      .catch(() => null);
+    if (!request) {
+      request = fetch(`${API_BASE}/api/stats`)
+        .then((res) => (res.ok ? res.json() : null))
+        .then((body: unknown) => (isStats(body) ? body : null))
+        .catch(() => null);
+    }
     let live = true;
     request.then((stats) => {
       if (live) setLoad(stats ? { phase: "ready", stats } : { phase: "error" });