♻️(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/recording/worker/services.py

@@ -2,12 +2,10 @@
 
 # pylint: disable=no-member
 
-from django.conf import settings
-
-import aiohttp
 from asgiref.sync import async_to_sync
 from livekit import api as livekit_api
 
+from ... import utils
 from ..enums import FileExtension
 from .exceptions import WorkerConnectionError, WorkerResponseError
 from .factories import WorkerServiceConfig
@@ -30,14 +28,7 @@ class BaseEgressService:
     async def _handle_request(self, request, method_name: str):
         """Handle making a request to the LiveKit API and returns the response."""
 
-        custom_session = None
-        if not settings.LIVEKIT_VERIFY_SSL:
-            connector = aiohttp.TCPConnector(ssl=False)
-            custom_session = aiohttp.ClientSession(connector=connector)
-
-        lkapi = livekit_api.LiveKitAPI(
-            session=custom_session, **self._config.server_configurations
-        )
+        lkapi = utils.create_livekit_client(self._config.server_configurations)
 
         # ruff: noqa: SLF001
         # pylint: disable=protected-access