### 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)

"doc_md": "docs",
        "fileloc": __file__,
        "file_token": url_safe_serializer.dumps(__file__),
        "is_active": None,
        "is_paused": None,
        "is_subdag": False,
        "orientation": "LR",
        "owners": [],
        "params": {
            "foo": {
                "__class": "airflow.models.param.Param",
                "value": 1,
                "description": None,
                "schema": {},
            }
        },
        "schedule_interval": {"__type": "TimeDelta", "days": 1, "seconds": 0, "microseconds": 0},
        "start_date": "2020-06-19T00:00:00+00:00",
        "tags": [{"name": "example1"}, {"name": "example2"}],
        "timezone": "Timezone('UTC')",
        "max_active_runs": 16,
        "pickle_id": None,
        "end_date": None,
        "is_paused_upon_creation": None,
        "render_template_as_native_obj": False,
    }
    obj = schema.dump(dag)
    expected.update({"last_parsed": obj["last_parsed"]})
    assert obj == expected