### 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)

self,
        execution_date: datetime | None = None,
        run_id: str | None = None,
        session: Session = NEW_SESSION,
    ) -> DagRun | DagRunPydantic:
        return DAG.fetch_dagrun(
            dag_id=self.dag_id, execution_date=execution_date, run_id=run_id, session=session
        )
    @provide_session
    def get_dagruns_between(self, start_date, end_date, session=NEW_SESSION):
        """
        Return the list of dag runs between start_date (inclusive) and end_date (inclusive).
        :param start_date: The starting execution date of the DagRun to find.
        :param end_date: The ending execution date of the DagRun to find.
        :param session:
        :return: The list of DagRuns found.
        """
        dagruns = session.scalars(
            select(DagRun).where(
                DagRun.dag_id == self.dag_id,
                DagRun.execution_date >= start_date,
                DagRun.execution_date <= end_date,
            )
        ).all()
        return dagruns
    @provide_session
    def get_latest_execution_date(self, session: Session = NEW_SESSION) -> pendulum.DateTime | None: