### 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>
"""Create TaskInstance for class defined Operator."""
        return self.ti_maker(
            self.opcls,
            python_callable=fn,
            **self.default_kwargs(**kwargs),
            dag_id=self.dag_id,
            task_id=self.task_id,
            execution_date=self.default_date,
        )
    def run_as_operator(self, fn, **kwargs):
        """Run task by direct call ``run`` method."""
        with self.dag:
            task = self.opcls(task_id=self.task_id, python_callable=fn, **self.default_kwargs(**kwargs))
        task.run(start_date=self.default_date, end_date=self.default_date)
        return task
    def run_as_task(self, fn, return_ti=False, **kwargs):
        """Create TaskInstance and run it."""
        ti = self.create_ti(fn, **kwargs)
        ti.run()
        if return_ti:
            return ti
        return ti.task
    def render_templates(self, fn, **kwargs):
        """Create TaskInstance and render templates without actual run."""
        return self.create_ti(fn, **kwargs).render_templates()
class TestPythonOperator(BasePythonTest):
    opcls = PythonOperator
    @pytest.fixture(autouse=True)
    def setup_tests(self):