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
test_mode=test_mode,
            job_id=job_id,
            pool=pool,
            session=session,
        )
        if not res:
            return
        try:
            error_fd = NamedTemporaryFile(delete=True)
            self._run_raw_task(
                mark_success=mark_success,
                test_mode=test_mode,
                job_id=job_id,
                pool=pool,
                error_file=error_fd.name,
                session=session,
            )
        finally:
            error = None if self.state == State.SUCCESS else load_error_file(error_fd)
            error_fd.close()
            self._run_finished_callback(error=error)
    def dry_run(self):
        """Only Renders Templates for the TI"""
        task = self.task
        task_copy = task.prepare_for_execution()
        self.task = task_copy
        self.render_templates()
        task_copy.dry_run()
    @provide_session
    def _handle_reschedule(self, actual_start_date, reschedule_exception, test_mode=False, session=None):