Add SSE push notifications — dream delivery triggers browser notification

app/page.tsx

@@ -22,6 +22,37 @@ export default function Home() {
     setSidebarOpen,
   } = useStore();
 
+  // SSE — listen for dream notifications
+  const sseRef = useRef<EventSource | null>(null);
+  useEffect(() => {
+    function connect() {
+      const es = new EventSource('/api/events');
+      sseRef.current = es;
+      es.onmessage = (e) => {
+        try {
+          const data = JSON.parse(e.data);
+          if (data.type === 'dream') {
+            if ('Notification' in window && Notification.permission === 'granted') {
+              new Notification('Bird dreamed', {
+                body: `${data.mode?.toUpperCase()} dream delivered — ${data.filename}`,
+                icon: '/icon-192.png',
+              });
+            }
+          }
+        } catch {}
+      };
+      es.onerror = () => {
+        es.close();
+        setTimeout(connect, 10000);
+      };
+    }
+    if ('Notification' in window) {
+      Notification.requestPermission();
+    }
+    connect();
+    return () => sseRef.current?.close();
+  }, []);
+
   useEffect(() => {
     api.getSettings().then(s => {
       setSettings(s);