Currently we use execution-date when generating the command to send via executor in https://github.com/apache/airflow/blob/9c94b72d440b18a9e42123d20d48b951712038f9/airflow/models/taskinstance.py#L420-L436

We should replace the execution_date in their to run_id instead and handle the corresponding changes needs on the executor and worker.
tests/models/test_taskinstance.py
"""
        Test the availability of variables in templates
        """
        with create_session() as session:
            clear_db_connections(add_default_connections_back=False)