### Discussed in https://github.com/apache/airflow/discussions/33345

<div type='discussions-op-text'>

<sup>Originally posted by **vuphamcs** August 11, 2023</sup>
### Description

Is there a variable similar to `prev_start_date_success` but for the previous DAG run’s completion date? The value I’m hoping to retrieve to use within the next DAG run is `2023-08-10 16:04:30`

![image](https://github.com/apache/airflow/assets/1600760/9e2af349-4c3e-47e1-8a1a-9d8827b56f57)


### Use case/motivation

One particular use case is to help guarantee that the next DAG run only queries data that was inserted during the existing DAG run, and not the past DAG run.

```python
prev_ts = context['prev_end_date_success']

sql = f"SELECT * FROM results WHERE created_at > {context['prev_end_date_success']}"
```

### Related issues

_No response_

### Are you willing to submit a PR?

- [ ] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)
</div>
"""
        Update task with rendered template fields for presentation in UI.
        If task has already run, will fetch from DB; otherwise will render.
        """
        from airflow.models.renderedtifields import RenderedTaskInstanceFields
        rendered_task_instance_fields = RenderedTaskInstanceFields.get_templated_fields(self, session=session)
        if rendered_task_instance_fields:
            self.task = self.task.unmap(None)
            for field_name, rendered_value in rendered_task_instance_fields.items():
                setattr(self.task, field_name, rendered_value)
            return
        try:
            
            from airflow.utils.log.secrets_masker import redact
            self.render_templates()
            for field_name in self.task.template_fields:
                rendered_value = getattr(self.task, field_name)
                setattr(self.task, field_name, redact(rendered_value, field_name))
        except (TemplateAssertionError, UndefinedError) as e:
            raise AirflowException(
                "Webserver does not have access to User-defined Macros or Filters "
                "when Dag Serialization is enabled. Hence for the task that have not yet "
                "started running, please use 'airflow tasks render' for debugging the "
                "rendering of template_fields."
            ) from e
    def overwrite_params_with_dag_run_conf(self, params, dag_run):