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
execution_date = get_next_execution_date()
            if execution_date is None:
                return None
            return execution_date.strftime('%Y-%m-%d')
        def get_next_ds_nodash() -> Optional[str]:
            ds = get_next_ds()
            if ds is None:
                return ds
            return ds.replace('-', '')
        @cache
        def get_prev_execution_date():
            if dag_run.external_trigger:
                return timezone.coerce_datetime(self.execution_date)
            with warnings.catch_warnings():
                warnings.simplefilter("ignore", DeprecationWarning)
                return task.dag.previous_schedule(self.execution_date)
        @cache
        def get_prev_ds() -> Optional[str]:
            execution_date = get_prev_execution_date()
            if execution_date is None:
                return None
            return execution_date.strftime(r'%Y-%m-%d')
        def get_prev_ds_nodash() -> Optional[str]:
            prev_ds = get_prev_ds()
            if prev_ds is None:
                return None