### 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)

orm_dag.is_paused = dag.is_paused_upon_creation
            orm_dag.tags = []
            log.info("Creating ORM DAG for %s", dag.dag_id)
            session.add(orm_dag)
            orm_dags.append(orm_dag)
        dag_id_to_last_automated_run: dict[str, DagRun] = {}
        num_active_runs: dict[str, int] = {}
        
        if any(dag.timetable.can_be_scheduled for dag in dags):
            
            last_automated_runs_subq = (
                select(DagRun.dag_id, func.max(DagRun.execution_date).label("max_execution_date"))
                .where(
                    DagRun.dag_id.in_(existing_dags),
                    or_(DagRun.run_type == DagRunType.BACKFILL_JOB, DagRun.run_type == DagRunType.SCHEDULED),
                )
                .group_by(DagRun.dag_id)
                .subquery()
            )
            last_automated_runs = session.scalars(
                select(DagRun).where(
                    DagRun.dag_id == last_automated_runs_subq.c.dag_id,
                    DagRun.execution_date == last_automated_runs_subq.c.max_execution_date,
                )
            )
            dag_id_to_last_automated_run = {run.dag_id: run for run in last_automated_runs}
            
            num_active_runs = DagRun.active_runs_of_dags(dag_ids=existing_dags, session=session)
        filelocs = []
        for orm_dag in sorted(orm_dags, key=lambda d: d.dag_id):