### 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)

warnings.warn(
                "Param `schedule_interval` is deprecated and will be removed in a future release. "
                "Please use `schedule` instead. ",
                RemovedInAirflow3Warning,
                stacklevel=2,
            )
        if timetable is not None:
            warnings.warn(
                "Param `timetable` is deprecated and will be removed in a future release. "
                "Please use `schedule` instead. ",
                RemovedInAirflow3Warning,
                stacklevel=2,
            )
        self.timetable: Timetable
        self.schedule_interval: ScheduleInterval
        self.dataset_triggers: Collection[Dataset] = []
        if isinstance(schedule, Collection) and not isinstance(schedule, str):
            from airflow.datasets import Dataset
            if not all(isinstance(x, Dataset) for x in schedule):
                raise ValueError("All elements in 'schedule' should be datasets")
            self.dataset_triggers = list(schedule)
        elif isinstance(schedule, Timetable):
            timetable = schedule
        elif schedule is not NOTSET:
            schedule_interval = schedule
        if self.dataset_triggers:
            self.timetable = DatasetTriggeredTimetable()
            self.schedule_interval = self.timetable.summary
        elif timetable:
            self.timetable = timetable