fix(proxy): leave the deferred-logging flush parameter untyped

Typing logging_obj as the concrete Logging class makes basedpyright see the
_enqueue_deferred_logging reset as a protected access from outside the class,
pushing reportPrivateUsage one over the tree-wide budget. The tests pin that
attribute on a mock, so the reset has to stay a direct write on the passed
object. Restore the parameter annotation this file already had.

litellm/proxy/common_request_processing.py

@@ -3018,7 +3018,7 @@ class ProxyBaseLLMRequestProcessing:
 
     @staticmethod
     def _flush_deferred_async_logging(
-        logging_obj: LiteLLMLoggingObj,
+        logging_obj: Any,
         exception_raised: bool,
     ) -> None:
         """