### 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)

response = self.client.get("/api/v1/dags/INVALID_DAG", environ_overrides={"REMOTE_USER": "test"})
        assert response.status_code == 404
    @provide_session
    def _create_dag_model(self, session=None):
        dag_model = DagModel(
            dag_id="TEST_DAG_1", fileloc="/tmp/dag_1.py", schedule_interval="2 2 * * *", is_paused=True
        )
        session.add(dag_model)
        return dag_model
    def test_should_raises_401_unauthenticated(self):
        dag_model = self._create_dag_model()
        response = self.client.patch(
            f"/api/v1/dags/{dag_model.dag_id}",
            json={
                "is_paused": False,
            },
        )
        assert_401(response)
    def test_should_respond_200_with_update_mask(self, url_safe_serializer):