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
"""Functions that need to be run before a Task is executed"""
        try:
            if task.on_execute_callback:
                task.on_execute_callback(context)
        except Exception:
            self.log.exception("Failed when executing execute callback")
    def _run_finished_callback(self, error: Optional[Union[str, Exception]] = None) -> None:
        """
        Call callback defined for finished state change.
        NOTE: Only invoke this function from caller of self._run_raw_task or
        self.run
        """
        if self.state == State.FAILED:
            task = self.task
            if task.on_failure_callback is not None:
                context = self.get_template_context()
                context["exception"] = error
                try:
                    task.on_failure_callback(context)
                except Exception:
                    self.log.exception("Error when executing on_failure_callback")
        elif self.state == State.SUCCESS:
            task = self.task
            if task.on_success_callback is not None:
                context = self.get_template_context()
                try:
                    task.on_success_callback(context)
                except Exception:
                    self.log.exception("Error when executing on_success_callback")
        elif self.state == State.UP_FOR_RETRY: