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
if ti:
            
            self.start_date = ti.start_date
            self.end_date = ti.end_date
            self.duration = ti.duration
            self.state = ti.state
            
            
            self.try_number = ti._try_number
            self.max_tries = ti.max_tries
            self.hostname = ti.hostname
            self.unixname = ti.unixname
            self.job_id = ti.job_id
            self.pool = ti.pool
            self.pool_slots = ti.pool_slots or 1
            self.queue = ti.queue
            self.priority_weight = ti.priority_weight
            self.operator = ti.operator
            self.queued_dttm = ti.queued_dttm
            self.queued_by_job_id = ti.queued_by_job_id
            self.pid = ti.pid
            self.executor_config = ti.executor_config
            self.external_executor_id = ti.external_executor_id
            self.trigger_id = ti.trigger_id
            self.next_method = ti.next_method
            self.next_kwargs = ti.next_kwargs
        else:
            self.state = None
        self.log.debug("Refreshed TaskInstance %s", self)
    def refresh_from_task(self, task, pool_override=None):