### 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)

d = {}
        d["is_picklable"] = True
        try:
            dttm = timezone.utcnow()
            pickled = pickle.dumps(self)
            d["pickle_len"] = len(pickled)
            d["pickling_duration"] = str(timezone.utcnow() - dttm)
        except Exception as e:
            self.log.debug(e)
            d["is_picklable"] = False
            d["stacktrace"] = traceback.format_exc()
        return d
    @provide_session
    def pickle(self, session=NEW_SESSION) -> DagPickle:
        dag = session.scalar(select(DagModel).where(DagModel.dag_id == self.dag_id).limit(1))
        dp = None
        if dag and dag.pickle_id:
            dp = session.scalar(select(DagPickle).where(DagPickle.id == dag.pickle_id).limit(1))
        if not dp or dp.pickle != self:
            dp = DagPickle(dag=self)
            session.add(dp)
            self.last_pickled = timezone.utcnow()
            session.commit()
            self.pickle_id = dp.id
        return dp
    def tree_view(self) -> None: