### 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)

[
            ("api/v1/dags?dag_id_pattern=DAG_1", {"TEST_DAG_1", "SAMPLE_DAG_1"}),
            ("api/v1/dags?dag_id_pattern=SAMPLE_DAG", {"SAMPLE_DAG_1", "SAMPLE_DAG_2"}),
            (
                "api/v1/dags?dag_id_pattern=_DAG_",
                {"TEST_DAG_1", "TEST_DAG_2", "SAMPLE_DAG_1", "SAMPLE_DAG_2"},
            ),
        ],
    )
    def test_filter_dags_by_dag_id_works(self, url, expected_dag_ids):
        
        dag1 = DAG(dag_id="TEST_DAG_1")
        dag2 = DAG(dag_id="TEST_DAG_2")
        dag3 = DAG(dag_id="SAMPLE_DAG_1")
        dag4 = DAG(dag_id="SAMPLE_DAG_2")
        dag1.sync_to_db()
        dag2.sync_to_db()
        dag3.sync_to_db()
        dag4.sync_to_db()
        response = self.client.patch(
            url,
            json={
                "is_paused": False,
            },
            environ_overrides={"REMOTE_USER": "test"},
        )
        assert response.status_code == 200
        dag_ids = {dag["dag_id"] for dag in response.json["dags"]}
        assert expected_dag_ids == dag_ids
    def test_should_respond_200_with_granular_dag_access(self):