### Description

Replace the existing selects with multi-selects that allow you to filter multiple DAG run states and types at the same time, somewhat similar to my prototype:

![image](https://github.com/apache/airflow/assets/1842905/c4ec0793-1ccb-417d-989c-781997416f97)


### Use case/motivation

I'm not sure if it is just me, but sometimes I wish I was able to show multiple DAG run states, especially `running` and `failed`, at the same time. 
This would be especially helpful for busy DAGs on which I want to clear a few failed runs. Without the multi-select, if I switch from `failed` to `running` DAG runs, I need to orient myself again to find the run I just cleared (assuming there are lots of other running DAG runs). _With_ the multi-select, the DAG run I just cleared stays in the same spot and I can check the logs, while clearing some other failed runs.

I'm not sure we need a multi-select for DAG run types as well. I'd tend to say no, but maybe someone else has a use-case for that.

### Related issues

_No response_

### Are you willing to submit a PR?

- [X] 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)

if TriggererJobRunner.is_needed():
            kwargs["triggerer_job"] = lazy_object_proxy.Proxy(TriggererJobRunner.most_recent_job)
        if "dag" in kwargs:
            kwargs["can_edit_dag"] = get_auth_manager().is_authorized_dag(
                method="PUT", details=DagDetails(id=kwargs["dag"].dag_id)
            )
        return super().render_template(
            *args,
            
            scheduler_job=lazy_object_proxy.Proxy(SchedulerJobRunner.most_recent_job),
            **kwargs,
        )
class Airflow(AirflowBaseView):
    """Main Airflow application."""
    @expose("/health")
    def health(self):
        """
        Check the health status of the Airflow instance.
        Includes metadatabase, scheduler and triggerer.
        """
        airflow_health_status = get_airflow_health()
        return flask.json.jsonify(airflow_health_status)
    @expose("/home")
    @auth.has_access_view()
    def index(self):