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 tasks properly take start/end dates from DAGs
        """
        with dag_maker('dag', end_date=DEFAULT_DATE + datetime.timedelta(days=10)) as dag:
            pass
        op1 = DummyOperator(task_id='op_1')
        assert op1.start_date is None and op1.end_date is None
        
        dag.add_task(op1)
        dag_maker.create_dagrun()
        assert op1.start_date == dag.start_date and op1.end_date == dag.end_date
        op2 = DummyOperator(
            task_id='op_2',
            start_date=DEFAULT_DATE - datetime.timedelta(days=1),
            end_date=DEFAULT_DATE + datetime.timedelta(days=11),
        )
        
        dag.add_task(op2)
        assert op2.start_date == dag.start_date and op2.end_date == dag.end_date
        op3 = DummyOperator(
            task_id='op_3',
            start_date=DEFAULT_DATE + datetime.timedelta(days=1),
            end_date=DEFAULT_DATE + datetime.timedelta(days=9),
        )
        
        dag.add_task(op3)
        assert op3.start_date == DEFAULT_DATE + datetime.timedelta(days=1)
        assert op3.end_date == DEFAULT_DATE + datetime.timedelta(days=9)
    def test_timezone_awareness(self, dag_maker):