### 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)

)
from airflow.exceptions import AirflowException, DagNotFound
from airflow.models.dag import DagModel, DagTag
from airflow.utils.airflow_flask_app import get_airflow_app
from airflow.utils.db import get_query_count
from airflow.utils.session import NEW_SESSION, provide_session
from airflow.www.extensions.init_auth_manager import get_auth_manager
if TYPE_CHECKING:
    from sqlalchemy.orm import Session
    from airflow import DAG
    from airflow.api_connexion.types import APIResponse, UpdateMask
@security.requires_access_dag("GET")
@provide_session
def get_dag(*, dag_id: str, session: Session = NEW_SESSION) -> APIResponse:
    """Get basic information about a DAG."""
    dag = session.scalar(select(DagModel).where(DagModel.dag_id == dag_id))
    if dag is None:
        raise NotFound("DAG not found", detail=f"The DAG with dag_id: {dag_id} was not found")
    return dag_schema.dump(dag)
@security.requires_access_dag("GET")
def get_dag_details(*, dag_id: str) -> APIResponse:
    """Get details of DAG."""
    dag: DAG = get_airflow_app().dag_bag.get_dag(dag_id)
    if not dag:
        raise NotFound("DAG not found", detail=f"The DAG with dag_id: {dag_id} was not found")
    return dag_detail_schema.dump(dag)
@security.requires_access_dag("GET")
@format_parameters({"limit": check_limit})
@provide_session
def get_dags(