### 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)

if result or as_pk_tuple:
            
            if as_pk_tuple:
                tis_query = session.execute(tis).all()
                result.update(TaskInstanceKey(**cols._mapping) for cols in tis_query)
            else:
                result.update(ti.key for ti in session.scalars(tis))
            if exclude_task_ids is not None:
                result = {
                    task
                    for task in result
                    if task.task_id not in exclude_task_ids
                    and (task.task_id, task.map_index) not in exclude_task_ids
                }
        if as_pk_tuple:
            return result
        if result:
            
            ti_filters = TI.filter_for_tis(result)
            if ti_filters is not None:
                tis = select(TI).where(ti_filters)
        elif exclude_task_ids is None:
            pass  
        elif isinstance(next(iter(exclude_task_ids), None), str):
            tis = tis.where(TI.task_id.notin_(exclude_task_ids))
        else:
            tis = tis.where(not_(tuple_in_condition((TI.task_id, TI.map_index), exclude_task_ids)))
        return tis
    @provide_session
    def set_task_instance_state(