### 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)

return settings.ALLOW_FUTURE_EXEC_DATES and not self.timetable.can_be_scheduled
    @provide_session
    def get_concurrency_reached(self, session=NEW_SESSION) -> bool:
        """Return a boolean indicating whether the max_active_tasks limit for this DAG has been reached."""
        TI = TaskInstance
        total_tasks = session.scalar(
            select(func.count(TI.task_id)).where(
                TI.dag_id == self.dag_id,
                TI.state == TaskInstanceState.RUNNING,
            )
        )
        return total_tasks >= self.max_active_tasks
    @property
    def concurrency_reached(self):
        """Use `airflow.models.DAG.get_concurrency_reached`, this attribute is deprecated."""
        warnings.warn(
            "This attribute is deprecated. Please use `airflow.models.DAG.get_concurrency_reached` method.",
            RemovedInAirflow3Warning,
            stacklevel=2,
        )
        return self.get_concurrency_reached()
    @provide_session
    def get_is_active(self, session=NEW_SESSION) -> None:
        """Return a boolean indicating whether this DAG is active."""
        return session.scalar(select(DagModel.is_active).where(DagModel.dag_id == self.dag_id))
    @provide_session
    def get_is_paused(self, session=NEW_SESSION) -> None: