### What do you see as an issue?

The [/dags/{dag_id}/details](https://airflow.apache.org/docs/apache-airflow/stable/stable-rest-api-ref.html#operation/post_set_task_instances_state) endpoint of the REST API does not return all of the keys that are listed in the documentation. If I run `curl -X GET localhost:8080/api/v1/dags/{my_dag}/details`, then compare the results with the results in the documentation, you can see the following missing keys:

```python
>>> for key in docs.keys():
...     if not key in actual.keys():
...             print(key)
...
root_dag_id
last_parsed_time
last_pickled
last_expired
scheduler_lock
timetable_description
has_task_concurrency_limits
has_import_errors
next_dagrun
next_dagrun_data_interval_start
next_dagrun_data_interval_end
next_dagrun_create_after
template_search_path
```

### Solving the problem

Either remove these keys from the documentation or fix the API endpoint

### Anything else

_No response_

### Are you willing to submit 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)

data_interval: tuple[datetime, datetime] | None = None,
) -> DagRun:
    """Create a DAG run, replacing an existing instance if needed to prevent collisions.
    This function is only meant to be used by :meth:`DAG.test` as a helper function.
    :param dag: DAG to be used to find run.
    :param conf: Configuration to pass to newly created run.
    :param start_date: Start date of new run.
    :param execution_date: Logical date for finding an existing run.
    :param run_id: Run ID for the new DAG run.
    :return: The newly created DAG run.
    """
    log.info("dagrun id: %s", dag.dag_id)
    dr: DagRun = session.scalar(
        select(DagRun).where(DagRun.dag_id == dag.dag_id, DagRun.execution_date == execution_date)
    )
    if dr:
        session.delete(dr)
        session.commit()
    dr = dag.create_dagrun(
        state=DagRunState.RUNNING,
        execution_date=execution_date,
        run_id=run_id,
        start_date=start_date or execution_date,
        session=session,
        conf=conf,
        data_interval=data_interval,
    )
    log.info("created dagrun %s", dr)
    return dr