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.
airflow/models/taskinstance.py
"""
        This attribute is deprecated.
        Please use `airflow.models.taskinstance.TaskInstance.get_previous_ti` method.
        """
        warnings.warn(
            """
            This attribute is deprecated.
            Please use `airflow.models.taskinstance.TaskInstance.get_previous_ti` method.
            """,
            DeprecationWarning,
            stacklevel=2,
        )
        return self.get_previous_ti(state=State.SUCCESS)
    @provide_session
    def get_previous_execution_date(
        self,
        state: Optional[str] = None,
        session: Session = None,
    ) -> Optional[pendulum.DateTime]:
        """
        The execution date from property previous_ti_success.
        :param state: If passed, it only take into account instances of a specific state.
        :param session: SQLAlchemy ORM Session
        """
        self.log.debug("previous_execution_date was called")
        prev_ti = self.get_previous_ti(state=state, session=session)
        return prev_ti and pendulum.instance(prev_ti.execution_date)
    @provide_session
    def get_previous_start_date(