### Description

Feature request to filter by running dags (or by other statuses too). We have over 100 dags and we were having some performance problems. we wanted to see all the running Dags from the main page and found that we couldn't. We can see the light green circle in the runs (and that involves a lot of scrolling) but no way to filter for it. 

We use SQL Server and it's job scheduling tool (SQL Agent) has this feature. The implementation for airflow shouldn't necessarily be like this but just presenting this as an example that it's a helpful feature implemented in other tools. 
<img width="231" alt="image" src="https://user-images.githubusercontent.com/286903/227529646-97ac2e8e-52de-421a-8328-072f35ccdff2.png">

I'll leave implementation details for someone else. 

on v2.2.5

### Use case/motivation

_No response_

### Related issues

_No response_

### 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 os
from unittest import mock
import flask
import markupsafe
import pytest
from airflow.dag_processing.processor import DagFileProcessor
from airflow.security import permissions
from airflow.utils.session import create_session
from airflow.utils.state import State
from airflow.www.utils import UIAlert
from airflow.www.views import FILTER_STATUS_COOKIE, FILTER_TAGS_COOKIE
from tests.test_utils.api_connexion_utils import create_user
from tests.test_utils.db import clear_db_dags, clear_db_import_errors, clear_db_serialized_dags
from tests.test_utils.www import check_content_in_response, check_content_not_in_response, client_with_login
def clean_db():