### 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)

elif not task.start_date:
            task.start_date = self.start_date
        
        
        elif self.start_date:
            task.start_date = max(task.start_date, self.start_date)
        
        if not task.end_date:
            task.end_date = self.end_date
        
        
        elif task.end_date and self.end_date:
            task.end_date = min(task.end_date, self.end_date)
        task_id = task.task_id
        if not task.task_group:
            task_group = TaskGroupContext.get_current_task_group(self)
            if task_group:
                task_id = task_group.child_id(task_id)
                task_group.add(task)
        if (
            task_id in self.task_dict and self.task_dict[task_id] is not task
        ) or task_id in self._task_group.used_group_ids:
            raise DuplicateTaskIdFound(f"Task id '{task_id}' has already been added to the DAG")
        else:
            self.task_dict[task_id] = task
            task.dag = self
            
            self._task_group.used_group_ids.add(task_id)
        self.task_count = len(self.task_dict)
    def add_tasks(self, tasks: Iterable[Operator]) -> None: