Ensure original log handlers are restored at close (#49230)

Error messages after close were not being logged

tests/util/test_logging.py

@@ -7,6 +7,7 @@ from unittest.mock import patch
 
 import pytest
 
+from homeassistant.const import EVENT_HOMEASSISTANT_CLOSE
 from homeassistant.core import callback, is_callback
 import homeassistant.util.logging as logging_util
 
@@ -65,11 +66,18 @@ async def test_logging_with_queue_handler():
 async def test_migrate_log_handler(hass):
     """Test migrating log handlers."""
 
+    original_handlers = logging.root.handlers
+
     logging_util.async_activate_log_queue_handler(hass)
 
     assert len(logging.root.handlers) == 1
     assert isinstance(logging.root.handlers[0], logging_util.HomeAssistantQueueHandler)
 
+    hass.bus.async_fire(EVENT_HOMEASSISTANT_CLOSE)
+    await hass.async_block_till_done()
+
+    assert logging.root.handlers == original_handlers
+
 
 @pytest.mark.no_fail_on_log_exception
 async def test_async_create_catching_coro(hass, caplog):