### 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)

memo.setdefault(id(t.task_group), None)
            return copy.deepcopy(t, memo)
        dag.task_dict = {
            t.task_id: _deepcopy_task(t)
            for t in itertools.chain(matched_tasks, also_include, direct_upstreams)
        }
        def filter_task_group(group, parent_group):
            """Exclude tasks not included in the subdag from the given TaskGroup."""
            
            
            
            copied = copy.copy(group)
            memo[id(group.children)] = {}
            if parent_group:
                memo[id(group.parent_group)] = parent_group
            for attr, value in copied.__dict__.items():
                if id(value) in memo:
                    value = memo[id(value)]
                else:
                    value = copy.deepcopy(value, memo)
                copied.__dict__[attr] = value
            proxy = weakref.proxy(copied)
            for child in group.children.values():