### 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)

#
#
#
from __future__ import annotations
import json
import textwrap
import time
from typing import TYPE_CHECKING, Any, Sequence
from urllib.parse import urlencode
from flask import request, url_for
from flask.helpers import flash
from flask_appbuilder.forms import FieldConverter
from flask_appbuilder.models.filters import BaseFilter
from flask_appbuilder.models.sqla import Model, filters as fab_sqlafilters
from flask_appbuilder.models.sqla.filters import get_field_setup_query, set_value_to_type
from flask_appbuilder.models.sqla.interface import SQLAInterface
from flask_babel import lazy_gettext
from markdown_it import MarkdownIt
from markupsafe import Markup
from pendulum.datetime import DateTime
from pygments import highlight, lexers
from pygments.formatters import HtmlFormatter
from sqlalchemy import func, types
from sqlalchemy.ext.associationproxy import AssociationProxy
from airflow.exceptions import RemovedInAirflow3Warning
from airflow.models import errors