### 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)

@staticmethod
    def clean_db():
        clear_db_runs()
        clear_db_dags()
        clear_db_serialized_dags()
    @pytest.fixture(autouse=True)
    def setup_attrs(self, configured_app) -> None:
        self.clean_db()
        self.app = configured_app
        self.client = self.app.test_client()  
        self.dag_id = DAG_ID
        self.dag2_id = DAG2_ID
        self.dag3_id = DAG3_ID
    def teardown_method(self) -> None:
        self.clean_db()
    @provide_session
    def _create_dag_models(self, count, dag_id_prefix="TEST_DAG", is_paused=False, session=None):
        for num in range(1, count + 1):
            dag_model = DagModel(
                dag_id=f"{dag_id_prefix}_{num}",
                fileloc=f"/tmp/dag_{num}.py",
                schedule_interval="2 2 * * *",
                is_active=True,
                is_paused=is_paused,
            )
            session.add(dag_model)
    @provide_session
    def _create_deactivated_dag(self, session=None):