⬆️(backend) upgrade livekit-api to latest version

Update livekit-api dependency to most recent release, enabling custom session
configuration. New version allows disabling SSL verification in local
development environment through session parameter support.

src/backend/core/tests/services/test_lobby.py

@@ -863,7 +863,7 @@ def test_notify_participants_error(mock_livekit_api, lobby_service):
     mock_api_instance = mock.Mock()
     mock_api_instance.room = mock.Mock()
     mock_api_instance.room.send_data = mock.AsyncMock(
-        side_effect=TwirpError(msg="test error", code=123)
+        side_effect=TwirpError(msg="test error", code=123, status=123)
     )
 
     class MockResponse:

src/backend/pyproject.toml

@@ -55,7 +55,7 @@ dependencies = [
     "sentry-sdk==2.24.1",
     "whitenoise==6.9.0",
     "mozilla-django-oidc==4.0.1",
-    "livekit-api==0.8.2",
+    "livekit-api==1.0.2",
     "aiohttp==3.11.14",
 ]