### 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)

"""Triggers DAG Run."""
        run_id = request.values.get("run_id", "").replace(" ", "+")
        origin = get_safe_url(request.values.get("origin"))
        unpause = request.values.get("unpause")
        request_conf = request.values.get("conf")
        request_execution_date = request.values.get("execution_date", default=timezone.utcnow().isoformat())
        is_dag_run_conf_overrides_params = conf.getboolean("core", "dag_run_conf_overrides_params")
        dag = get_airflow_app().dag_bag.get_dag(dag_id)
        dag_orm: DagModel = session.scalar(select(DagModel).where(DagModel.dag_id == dag_id).limit(1))
        
        form_fields = {}
        allow_raw_html_descriptions = conf.getboolean("webserver", "allow_raw_html_descriptions")
        form_trust_problems = []
        for k, v in dag.params.items():
            form_fields[k] = v.dump()
            form_field: dict = form_fields[k]
            
            if "schema" not in form_field: