♻️(backend) extract livekit API client creation to reusable utility

Create dedicated utility function for livekit API client initialization.
Centralizes configuration logic including custom session handling for SSL
verification. Improves code reuse across backend components that interact
with LiveKit.

src/backend/core/services/lobby.py

@@ -14,7 +14,6 @@ from django.core.cache import cache
 from asgiref.sync import async_to_sync
 from livekit.api import (  # pylint: disable=E0611
     ListRoomsRequest,
-    LiveKitAPI,
     SendDataRequest,
     TwirpError,
 )
@@ -347,7 +346,7 @@ class LobbyService:
             "type": settings.LOBBY_NOTIFICATION_TYPE,
         }
 
-        lkapi = LiveKitAPI(**settings.LIVEKIT_CONFIGURATION)
+        lkapi = utils.create_livekit_client()
 
         try:
             room_response = await lkapi.room.list_rooms(