fix: push menu + stats immediately on startup instead of waiting first cycle

_connect_loop now waits up to 30 seconds for the heartbeat to return
site_numeric_id, then immediately pushes the menu snapshot and stats
before entering the regular poll loop. Previously the first push
wouldn't fire until 5 minutes after startup, making the menu
unavailable until then.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

local_backend/services/cloud_sync.py

@@ -446,8 +446,19 @@ async def _push_stats_snapshot():
 
 async def _connect_loop():
     """Faster loop: pulls pending online orders every CONNECT_SYNC_INTERVAL_SECONDS.
-    Also pushes menu snapshot and stats every 5 minutes (piggybacking on this loop)."""
+    Also pushes menu snapshot and stats every 5 minutes (piggybacking on this loop).
+    On startup, waits for the first heartbeat to populate site_numeric_id then
+    immediately pushes menu + stats without waiting a full cycle."""
     push_every = max(1, (5 * 60) // ORDER_POLL_INTERVAL)
+
+    # Wait for the heartbeat loop to get site_numeric_id, then do an immediate push
+    for _ in range(30):  # wait up to 30 seconds
+        if license_state.get("site_numeric_id"):
+            break
+        await asyncio.sleep(1)
+    await _push_menu_snapshot()
+    await _push_stats_snapshot()
+
     tick = 0
     while True:
         await asyncio.sleep(ORDER_POLL_INTERVAL)