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
dr = self.get_dagrun(session=session)
        
        if not dr:
            
            try:
                
                
                
                schedule = dag.timetable._schedule
            except AttributeError:
                return None
            dt = pendulum.instance(self.execution_date)
            return TaskInstance(
                task=self.task,
                execution_date=schedule.get_prev(dt),
            )
        dr.dag = dag
        
        
        
        ignore_schedule = state is not None or dag.schedule_interval is None
        if dag.catchup is True and not ignore_schedule:
            last_dagrun = dr.get_previous_scheduled_dagrun(session=session)
        else:
            last_dagrun = dr.get_previous_dagrun(session=session, state=state)
        if last_dagrun:
            return last_dagrun
        return None
    @provide_session
    def get_previous_ti(