### 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)

for node in group.topological_sort(_include_subdag_tasks=include_subdag_tasks):
                if isinstance(node, TaskGroup):
                    yield from nested_topo(node)
                else:
                    yield node
        return tuple(nested_topo(self.task_group))
    @provide_session
    def set_dag_runs_state(
        self,
        state: DagRunState = DagRunState.RUNNING,
        session: Session = NEW_SESSION,
        start_date: datetime | None = None,
        end_date: datetime | None = None,
        dag_ids: list[str] = [],
    ) -> None:
        warnings.warn(
            "This method is deprecated and will be removed in a future version.",
            RemovedInAirflow3Warning,
            stacklevel=3,
        )
        dag_ids = dag_ids or [self.dag_id]
        query = update(DagRun).where(DagRun.dag_id.in_(dag_ids))
        if start_date:
            query = query.where(DagRun.execution_date >= start_date)
        if end_date:
            query = query.where(DagRun.execution_date <= end_date)
        session.execute(query.values(state=state).execution_options(synchronize_session="fetch"))
    @provide_session
    def clear(