docstr: Ensure that when `_logger_name` is set as an empty string, the resulting logger name is an empty
  string too, which result in a logger with 'root' as name.
  Note: Passing an empty string to `logging.getLogger` will create a logger with name 'root'.
docstr_tok: ["Ensure","that","when","`","_logger_name","`","is","set","as","an","empty","string",",","the","resulting","logger","name","is","an","empty","string","too",",","which","result","in","a","logger","with","'root","'","as","name",".","Note",":","Passing","an","empty","string","to","`","logging.getLogger","`","will","create","a","logger","with","name","'root","'","."]
code: def test_logger_name_is_root_when_logger_name_is_empty_string(self):
      """
      Ensure that when `_logger_name` is set as an empty string, the resulting logger name is an empty
      string too, which result in a logger with 'root' as name.
      Note: Passing an empty string to `logging.getLogger` will create a logger with name 'root'.
      """
  
      class EmptyStringLogger(LoggingMixin):
          _logger_name: str | None = ""
  
      assert EmptyStringLogger().log.name == "root"
  
imports: from __future__ import annotations
  import logging
  import sys
  import warnings
  from unittest import mock
  import pytest
  from airflow.utils.log.logging_mixin import LoggingMixin, SetContextPropagate, StreamLogWriter, set_context
label_desc: Use image node_id 4 for calling the TestLoggingMixin obj's underlying member method code with example usage: obj.test_logger_name_is_root_when_logger_name_is_empty_string() without return types