♻️(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/tests/test_utils.py

@@ -0,0 +1,60 @@
+"""
+Test utils functions
+"""
+
+from unittest import mock
+
+from core.utils import create_livekit_client
+
+
+@mock.patch("asyncio.get_running_loop")
+@mock.patch("core.utils.LiveKitAPI")
+def test_create_livekit_client_ssl_enabled(
+    mock_livekit_api, mock_get_running_loop, settings
+):
+    """Test LiveKitAPI client creation with SSL verification enabled."""
+    mock_get_running_loop.return_value = mock.MagicMock()
+    settings.LIVEKIT_VERIFY_SSL = True
+
+    create_livekit_client()
+
+    mock_livekit_api.assert_called_once_with(
+        **settings.LIVEKIT_CONFIGURATION, session=None
+    )
+
+
+@mock.patch("core.utils.aiohttp.ClientSession")
+@mock.patch("asyncio.get_running_loop")
+@mock.patch("core.utils.LiveKitAPI")
+def test_create_livekit_client_ssl_disabled(
+    mock_livekit_api, mock_get_running_loop, mock_client_session, settings
+):
+    """Test LiveKitAPI client creation with SSL verification disabled."""
+    mock_get_running_loop.return_value = mock.MagicMock()
+    mock_session_instance = mock.MagicMock()
+    mock_client_session.return_value = mock_session_instance
+    settings.LIVEKIT_VERIFY_SSL = False
+
+    create_livekit_client()
+
+    mock_livekit_api.assert_called_once_with(
+        **settings.LIVEKIT_CONFIGURATION, session=mock_session_instance
+    )
+
+
+@mock.patch("asyncio.get_running_loop")
+@mock.patch("core.utils.LiveKitAPI")
+def test_create_livekit_client_custom_configuration(
+    mock_livekit_api, mock_get_running_loop
+):
+    """Test LiveKitAPI client creation with custom configuration."""
+    mock_get_running_loop.return_value = mock.MagicMock()
+    custom_configuration = {
+        "api_key": "mock_key",
+        "api_secret": "mock_secret",
+        "url": "http://mock-url.com",
+    }
+
+    create_livekit_client(custom_configuration)
+
+    mock_livekit_api.assert_called_once_with(**custom_configuration, session=None)