### 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)

.where(DagModel.dag_id.in_(dataset_triggered_dag_ids))
                    .group_by(DagModel.dag_id)
                    .having(func.count() >= func.max(DagModel.max_active_runs))
                )
            )
            if exclusion_list:
                dataset_triggered_dag_ids -= exclusion_list
                dataset_triggered_dag_info = {
                    k: v for k, v in dataset_triggered_dag_info.items() if k not in exclusion_list
                }
        
        query = (
            select(cls)
            .where(
                cls.is_paused == expression.false(),
                cls.is_active == expression.true(),
                cls.has_import_errors == expression.false(),
                or_(
                    cls.next_dagrun_create_after <= func.now(),
                    cls.dag_id.in_(dataset_triggered_dag_ids),
                ),
            )
            .order_by(cls.next_dagrun_create_after)
            .limit(cls.NUM_DAGS_PER_DAGRUN_QUERY)
        )
        return (
            session.scalars(with_row_locks(query, of=cls, session=session, **skip_locked(session=session))),
            dataset_triggered_dag_info,
        )
    def calculate_dagrun_date_fields(