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
"""Setting Next Try Number"""
        return self._try_number + 1
    def command_as_list(
        self,
        mark_success=False,
        ignore_all_deps=False,
        ignore_task_deps=False,
        ignore_depends_on_past=False,
        ignore_ti_state=False,
        local=False,
        pickle_id=None,
        raw=False,
        job_id=None,
        pool=None,
        cfg_path=None,
    ):
        """
        Returns a command that can be executed anywhere where airflow is
        installed. This command is part of the message sent to executors by
        the orchestrator.
        """
        dag: Union["DAG", "DagModel"]
        
        if hasattr(self, 'task') and hasattr(self.task, 'dag'):
            dag = self.task.dag
        else:
            dag = self.dag_model