🐛(backend) fix ignore recording webhook events

Fix an unexpected behavior where filtering LiveKit webhook events sometimes
failed because the room name was not reliably extracted from the webhook data,
causing notifications to be ignored.

Configure the same filtering logic locally to avoid missing this kind of issue
in the future.

src/backend/core/services/livekit_events.py

@@ -118,8 +118,10 @@ class LiveKitEventsService:
         except Exception as e:
             raise InvalidPayloadError("Invalid webhook payload") from e
 
-        if self._filter_regex and not self._filter_regex.search(data.room.name):
-            logger.info("Filtered webhook event for room '%s'", data.room.name)
+        room_name = data.room.name or data.egress_info.room_name
+
+        if self._filter_regex and not self._filter_regex.search(room_name):
+            logger.info("Filtered webhook event for room '%s'", room_name)
             return
 
         try: