### 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)

"""Mark DagRun success."""
        dag_id = request.form.get("dag_id")
        dag_run_id = request.form.get("dag_run_id")
        confirmed = request.form.get("confirmed") == "true"
        return self._mark_dagrun_state_as_success(dag_id, dag_run_id, confirmed)
    @expose("/dagrun_queued", methods=["POST"])
    @auth.has_access(
        [
            (permissions.ACTION_CAN_EDIT, permissions.RESOURCE_DAG),
            (permissions.ACTION_CAN_EDIT, permissions.RESOURCE_DAG_RUN),
        ]
    )
    @action_logging
    def dagrun_queued(self):
        """Queue DagRun so tasks that haven't run yet can be started."""
        dag_id = request.form.get("dag_id")
        dag_run_id = request.form.get("dag_run_id")
        confirmed = request.form.get("confirmed") == "true"
        return self._mark_dagrun_state_as_queued(dag_id, dag_run_id, confirmed)
    @expose("/dagrun_details")
    def dagrun_details(self):
        """Redirect to the GRID DAGRun page. This is avoids breaking links."""
        dag_id = request.args.get("dag_id")
        run_id = request.args.get("run_id")
        return redirect(url_for("Airflow.grid", dag_id=dag_id, dag_run_id=run_id))
    def _mark_task_instance_state(