### 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)

"""Exposes a CLI specific to this DAG."""
        check_cycle(self)
        from airflow.cli import cli_parser
        parser = cli_parser.get_parser(dag_parser=True)
        args = parser.parse_args()
        args.func(args, self)
    @provide_session
    def test(
        self,
        execution_date: datetime | None = None,
        run_conf: dict[str, Any] | None = None,
        conn_file_path: str | None = None,
        variable_file_path: str | None = None,
        session: Session = NEW_SESSION,
    ) -> DagRun:
        """
        Execute one single DagRun for a given DAG and execution date.
        :param execution_date: execution date for the DAG run
        :param run_conf: configuration to pass to newly created dagrun
        :param conn_file_path: file path to a connection file in either yaml or json
        :param variable_file_path: file path to a variable file in either yaml or json
        :param session: database connection (optional)
        """
        def add_logger_if_needed(ti: TaskInstance):