### 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)

"""Stringified DAGs and operators contain exactly these fields."""
        if not cls.__serialized_fields:
            exclusion_list = {
                "parent_dag",
                "schedule_dataset_references",
                "task_outlet_dataset_references",
                "_old_context_manager_dags",
                "safe_dag_id",
                "last_loaded",
                "user_defined_filters",
                "user_defined_macros",
                "partial",
                "params",
                "_pickle_id",
                "_log",
                "task_dict",
                "template_searchpath",
                "sla_miss_callback",
                "on_success_callback",
                "on_failure_callback",
                "template_undefined",
                "jinja_environment_kwargs",
                
                "has_on_success_callback",
                "has_on_failure_callback",
                "auto_register",
                "fail_stop",
            }
            cls.__serialized_fields = frozenset(vars(DAG(dag_id="test"))) - exclusion_list