### 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)

self.doc_md = self.get_doc_md(doc_md)
        self.tags = tags or []
        self._task_group = TaskGroup.create_root(self)
        self.validate_schedule_and_params()
        wrong_links = dict(self.iter_invalid_owner_links())
        if wrong_links:
            raise AirflowException(
                "Wrong link format was used for the owner. Use a valid link \n"
                f"Bad formatted links are: {wrong_links}"
            )
        
        
        
        self._processor_dags_folder = None
    def get_doc_md(self, doc_md: str | None) -> str | None:
        if doc_md is None:
            return doc_md
        env = self.get_template_env(force_sandboxed=True)
        if not doc_md.endswith(".md"):
            template = jinja2.Template(doc_md)
        else:
            try:
                template = env.get_template(doc_md)
            except jinja2.exceptions.TemplateNotFound:
                return f"""
                # Templating Error!
                Not able to find the template file: `{doc_md}`.
                """
        return template.render()
    def _check_schedule_interval_matches_timetable(self) -> bool: