### 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)

run_type=run_type,
            dag_hash=dag_hash,
            creating_job_id=creating_job_id,
            data_interval=data_interval,
        )
        session.add(run)
        session.flush()
        run.dag = self
        
        
        run.verify_integrity(session=session)
        return run
    @classmethod
    @provide_session
    def bulk_sync_to_db(
        cls,
        dags: Collection[DAG],
        session=NEW_SESSION,
    ):
        """Use `airflow.models.DAG.bulk_write_to_db`, this method is deprecated."""
        warnings.warn(
            "This method is deprecated and will be removed in a future version. Please use bulk_write_to_db",
            RemovedInAirflow3Warning,
            stacklevel=2,
        )
        return cls.bulk_write_to_db(dags=dags, session=session)
    @classmethod
    @provide_session
    def bulk_write_to_db(
        cls,