Fix logger creating many thread locks when reloading the integrations page (#93768)

* Fix logger creating many thread locks

We call getLogger for each integration to get the current
log level when loading the integrations page. This creates
a storm of threading locks

* fixes

homeassistant/components/logger/websocket_api.py

@@ -1,5 +1,4 @@
 """Websocket API handlers for the logger integration."""
-import logging
 from typing import Any
 
 import voluptuous as vol
@@ -16,6 +15,7 @@ from .helpers import (
     LogPersistance,
     LogSettingsType,
     async_get_domain_config,
+    get_logger,
 )
 
 
@@ -38,7 +38,7 @@ def handle_integration_log_info(
         [
             {
                 "domain": integration,
-                "level": logging.getLogger(
+                "level": get_logger(
                     f"homeassistant.components.{integration}"
                 ).getEffectiveLevel(),
             }