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 that running task in an existing pool with mark_success param
        update task state as SUCCESS without running task
        despite it fails dependency checks.
        """
        _, task = create_dummy_dag(
            dag_id='test_run_pooling_task_with_mark_success',
            task_id='test_run_pooling_task_with_mark_success_op',
        )
        ti = TI(task=task, execution_date=timezone.utcnow())
        ti.run(mark_success=True)
        assert ti.state == State.SUCCESS
    def test_run_pooling_task_with_skip(self, dag_maker):