### 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,
        base_date: datetime,
        num: int,
        *,
        session: Session = NEW_SESSION,
    ) -> list[TaskInstance]:
        """Get ``num`` task instances before (including) ``base_date``.
        The returned list may contain exactly ``num`` task instances
        corresponding to any DagRunType. It can have less if there are
        less than ``num`` scheduled DAG runs before ``base_date``.
        """
        execution_dates: list[Any] = session.execute(
            select(DagRun.execution_date)
            .where(
                DagRun.dag_id == self.dag_id,
                DagRun.execution_date <= base_date,
            )
            .order_by(DagRun.execution_date.desc())
            .limit(num)
        ).all()
        if not execution_dates:
            return self.get_task_instances(start_date=base_date, end_date=base_date, session=session)
        min_date: datetime | None = execution_dates[-1]._mapping.get(
            "execution_date"
        )  
        return self.get_task_instances(start_date=min_date, end_date=base_date, session=session)
    @provide_session
    def get_task_instances(