### 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.schedule_interval = self.timetable.summary
        else:
            if isinstance(schedule_interval, ArgNotSet):
                schedule_interval = DEFAULT_SCHEDULE_INTERVAL
            self.schedule_interval = schedule_interval
            self.timetable = create_timetable(schedule_interval, self.timezone)
        if isinstance(template_searchpath, str):
            template_searchpath = [template_searchpath]
        self.template_searchpath = template_searchpath
        self.template_undefined = template_undefined
        self.last_loaded: datetime = timezone.utcnow()
        self.safe_dag_id = dag_id.replace(".", "__dot__")
        self.max_active_runs = max_active_runs
        if self.timetable.active_runs_limit is not None:
            if self.timetable.active_runs_limit < self.max_active_runs:
                raise AirflowException(
                    f"Invalid max_active_runs: {type(self.timetable)} "
                    f"requires max_active_runs <= {self.timetable.active_runs_limit}"
                )
        self.dagrun_timeout = dagrun_timeout
        self.sla_miss_callback = sla_miss_callback
        if default_view in DEFAULT_VIEW_PRESETS:
            self._default_view: str = default_view
        elif default_view == "tree":
            warnings.warn(
                "`default_view` of 'tree' has been renamed to 'grid' -- please update your DAG",
                RemovedInAirflow3Warning,
                stacklevel=2,
            )
            self._default_view = "grid"