### 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)

dag_ids_query = dag_ids_query.where(~DagModel.is_paused)
            owners_query = owners_query.where(~DagModel.is_paused)
        elif status == "paused":
            dag_ids_query = dag_ids_query.where(DagModel.is_paused)
            owners_query = owners_query.where(DagModel.is_paused)
        filter_dag_ids = get_auth_manager().get_permitted_dag_ids(user=g.user)
        dag_ids_query = dag_ids_query.where(DagModel.dag_id.in_(filter_dag_ids))
        owners_query = owners_query.where(DagModel.dag_id.in_(filter_dag_ids))
        payload = [
            row._asdict()
            for row in session.execute(dag_ids_query.union(owners_query).order_by("name").limit(10))
        ]
        return flask.json.jsonify(payload)
class DagDependenciesView(AirflowBaseView):
    """View to show dependencies between DAGs."""
    refresh_interval = datetime.timedelta(
        seconds=conf.getint(
            "webserver",
            "dag_dependencies_refresh_interval",
            fallback=conf.getint("scheduler", "dag_dir_list_interval"),
        )
    )
    last_refresh = timezone.utcnow() - refresh_interval
    nodes: list[dict[str, Any]] = []
    edges: list[dict[str, str]] = []
    @expose("/dag-dependencies")
    @auth.has_access_dag("GET", DagAccessEntity.DEPENDENCIES)
    @gzipped
    @action_logging
    def list(self):