def METHOD_NAME(self, output_dir, dag):
    """Generate the Airflow DAG representation for the provided DAG."""
    output_file = Path(output_dir) / (dag.name + ".py")
    formatted_dag = format_file_contents(
        dag.to_airflow_dag(), fast=False, mode=FileMode()
    )
    output_file.write_text(formatted_dag)