### 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._create_dag_models(3)
        response = self.client.patch(
            "api/v1/dags?dag_id_pattern=~",
            json={
                "is_paused": False,
            },
            environ_overrides={"REMOTE_USER": "test_granular_permissions"},
        )
        assert response.status_code == 200
        assert len(response.json["dags"]) == 1
        assert response.json["dags"][0]["dag_id"] == "TEST_DAG_1"
    @pytest.mark.parametrize(
        "url, expected_dag_ids",
        [
            ("api/v1/dags?limit=1&dag_id_pattern=~", ["TEST_DAG_1"]),
            ("api/v1/dags?limit=2&dag_id_pattern=~", ["TEST_DAG_1", "TEST_DAG_10"]),
            (
                "api/v1/dags?offset=5&dag_id_pattern=~",
                ["TEST_DAG_5", "TEST_DAG_6", "TEST_DAG_7", "TEST_DAG_8", "TEST_DAG_9"],
            ),
            (
                "api/v1/dags?offset=0&dag_id_pattern=~",
                [
                    "TEST_DAG_1",