### Apache Airflow version

2.7.0rc2

### What happened

In the Airflow UI, currently, the DAG Processor is visible in the Cluster Activity page even if there is no stand-alone dag processor. 

### What you think should happen instead

It should be hidden if there is no stand-alone dag processor.

### How to reproduce

Run Airflow 2.7 

### Operating System

Mac OS

### Versions of Apache Airflow Providers

Airflow > 2.7

### Deployment

Official Apache Airflow Helm Chart

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit 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)

category="error",
                )
                del form.extra
        del extra_json
        for key, field_name, is_sensitive in self._iter_extra_field_names_and_sensitivity():
            if key in form.data and key.startswith("extra__"):
                conn_type_from_extra_field = key.split("__")[1]
                if conn_type_from_extra_field == conn_type:
                    value = form.data[key]
                    
                    
                    if value != "":
                        extra[field_name] = value
        if extra.keys():
            sensitive_unchanged_keys = set()
            for key, value in extra.items():
                if value == SENSITIVE_FIELD_PLACEHOLDER:
                    sensitive_unchanged_keys.add(key)
            if sensitive_unchanged_keys:
                try:
                    conn = BaseHook.get_connection(conn_id)
                except AirflowNotFoundException:
                    conn = None
                for key in sensitive_unchanged_keys:
                    if conn and conn.extra_dejson.get(key):
                        extra[key] = conn.extra_dejson.get(key)
                    else:
                        del extra[key]
            form.extra.data = json.dumps(extra)
    def prefill_form(self, form, pk):