### Description

Going to Airflow web UI, Browse>DAG Run displays the list of runs, but there is no way to search or filter based on the text in the "Note" column.

### Use case/motivation

It is possible to do a free text search for the "Run Id" field. The Note field may contain pieces of information that may be relevant to find, or to filter on the basis of these notes.

### Related issues

Sorting by Note in List Dag Run fails: 
https://github.com/apache/airflow/issues/30041

### Are you willing to submit a 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)

return redirect(self.get_default_url())
def action_has_dag_edit_access(action_func: Callable) -> Callable:
    """Decorator for actions which verifies you have DAG edit access on the given tis/drs."""
    @wraps(action_func)
    def check_dag_edit_acl_for_actions(
        self,
        items: list[TaskInstance] | list[DagRun] | TaskInstance | DagRun | None,
        *args,
        **kwargs,
    ) -> Callable:
        if items is None:
            dag_ids: set[str] = set()
        elif isinstance(items, list):
            dag_ids = {item.dag_id for item in items if item is not None}
        elif isinstance(items, TaskInstance) or isinstance(items, DagRun):
            dag_ids = {items.dag_id}
        else:
            raise ValueError(
                "Was expecting the first argument of the action to be of type "
                "list[TaskInstance] | list[DagRun] | TaskInstance | DagRun | None."
                f"Was of type: {type(items)}"
            )
        for dag_id in dag_ids:
            if not get_airflow_app().appbuilder.sm.can_edit_dag(dag_id):
                flash(f"Access denied for dag_id {dag_id}", "danger")
                logging.warning("User %s tried to modify %s without having access.", g.user.username, dag_id)
                return redirect(self.get_default_url())
        return action_func(self, items, *args, **kwargs)
    return check_dag_edit_acl_for_actions