### 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)

delay_on_limit_secs=1.0,
        verbose=False,
        conf=None,
        rerun_failed_tasks=False,
        run_backwards=False,
        run_at_least_once=False,
        continue_on_failures=False,
        disable_retry=False,
    ):
        """
        Run the DAG.
        :param start_date: the start date of the range to run
        :param end_date: the end date of the range to run
        :param mark_success: True to mark jobs as succeeded without running them
        :param local: True to run the tasks using the LocalExecutor
        :param executor: The executor instance to run the tasks
        :param donot_pickle: True to avoid pickling DAG object and send to workers
        :param ignore_task_deps: True to skip upstream tasks
        :param ignore_first_depends_on_past: True to ignore depends_on_past
            dependencies for the first set of tasks only
        :param pool: Resource pool to use
        :param delay_on_limit_secs: Time in seconds to wait before next attempt to run
            dag run when max_active_runs limit has been reached
        :param verbose: Make logging output more verbose
        :param conf: user defined dictionary passed from CLI
        :param rerun_failed_tasks:
        :param run_backwards:
        :param run_at_least_once: If true, always run the DAG at least once even
            if no logical run exists within the time range.
        """