fix: auto-start room when host enters (WAITING → ACTIVE)

src/app/room/[code]/page.tsx

@@ -58,8 +58,20 @@ export default function RoomPage() {
         const roomData = await res.json();
         setRoom(roomData);
 
-        // If authenticated user is host and no token yet, fetch host token
+        // If authenticated user is host and no token yet
         if (!token && userId && roomData.hostId === userId) {
+          // Auto-start room if still WAITING
+          if (roomData.status === "WAITING") {
+            const startRes = await fetch(`/api/rooms/${roomData.id}/start`, {
+              method: "POST",
+            });
+            if (startRes.ok) {
+              const startedRoom = await startRes.json();
+              setRoom({ ...roomData, status: startedRoom.status });
+            }
+          }
+
+          // Now fetch token
           const tokenRes = await fetch("/api/livekit/token", {
             method: "POST",
             headers: { "Content-Type": "application/json" },