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 get_previous_start_date() can handle TaskInstance with no start_date.
        """
        with dag_maker("test_get_previous_start_date_none", schedule_interval=None) as dag:
            task = DummyOperator(task_id="op")
        day_1 = DEFAULT_DATE
        day_2 = DEFAULT_DATE + datetime.timedelta(days=1)
        
        
        
        dagrun_1 = dag_maker.create_dagrun(
            execution_date=day_1,
            state=State.RUNNING,
            run_type=DagRunType.MANUAL,
        )
        dagrun_2 = dag.create_dagrun(
            execution_date=day_2,
            state=State.RUNNING,
            run_type=DagRunType.MANUAL,
        )
        ti_1 = dagrun_1.get_task_instance(task.task_id)
        ti_2 = dagrun_2.get_task_instance(task.task_id)
        ti_1.task = task
        ti_2.task = task
        assert ti_2.get_previous_start_date() == ti_1.start_date
        assert ti_1.start_date is None
    def test_pendulum_template_dates(self, create_dummy_dag):