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
self, state: Optional[str] = None, session: Session = None
    ) -> Optional['TaskInstance']:
        """
        The task instance for the task that ran before this task instance.
        :param state: If passed, it only take into account instances of a specific state.
        :param session: SQLAlchemy ORM Session
        """
        dagrun = self.get_previous_dagrun(state, session=session)
        if dagrun is None:
            return None
        return dagrun.get_task_instance(self.task_id, session=session)
    @property
    def previous_ti(self):
        """
        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()
    @property
    def previous_ti_success(self) -> Optional['TaskInstance']: