### Apache Airflow version

2.7.0rc1

### What happened

As per https://github.com/apache/airflow/pull/31583, now we can only run DAG with config from UI if DAG has params, however, if a DAG is using dag_run.conf there is no way to run with config from UI and as dag_run.conf is not deprecated most of the users will be impacted by this

@hussein-awala  also mentioned it in his [voting](https://lists.apache.org/thread/zd9ppxw1xwxsl66w0tyw1wch9flzb03w)

### What you think should happen instead

I think there should be a way to provide param values from UI when dag_run.conf is used in DAG

### How to reproduce

Use below DAG in 2.7.0rc and you will notice there is no way to provide conf value from airflow UI

DAG CODE

```
from airflow.models import DAG
from airflow.operators.bash import BashOperator
from airflow.operators.python import PythonOperator
from airflow.utils.dates import days_ago

dag = DAG(
dag_id="trigger_target_dag",
default_args={"start_date": days_ago(2), "owner": "Airflow"},
tags=["core"],
schedule_interval=None, # This must be none so it's triggered by the controller
is_paused_upon_creation=False, # This must be set so other workers can pick this dag up. mabye it's a bug idk
)

def run_this_func(**context):
print(
f"Remotely received value of {context['dag_run'].conf['message']} for key=message "
)

run_this = PythonOperator(
task_id="run_this",
python_callable=run_this_func,
dag=dag,
)

bash_task = BashOperator(
task_id="bash_task",
bash_command='echo "Here is the message: $message"',
env={"message": '{{ dag_run.conf["message"] if dag_run else "" }}'},
dag=dag,
)
```

### Operating System

MAS os Monterey

### Versions of Apache Airflow Providers

_No response_

### Deployment

Astronomer

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit 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)

num_of_pages = math.ceil(audit_logs_count / logs_per_page)
        start = current_page * logs_per_page
        end = start + logs_per_page
        sort_column = Log.__table__.c.get(arg_sorting_key)
        if sort_column is not None:
            if arg_sorting_direction == "desc":
                sort_column = sort_column.desc()
            query = query.order_by(sort_column)
        dag_audit_logs = session.scalars(query.offset(start).limit(logs_per_page)).all()
        return self.render_template(
            "airflow/dag_audit_log.html",
            dag=dag,
            dag_model=dag_model,
            root=request.args.get("root"),
            dag_id=dag_id,
            dag_logs=dag_audit_logs,
            num_log_from=min(start + 1, audit_logs_count),
            num_log_to=min(end, audit_logs_count),
            audit_logs_count=audit_logs_count,
            page_size=PAGE_SIZE,
            paging=wwwutils.generate_pages(
                current_page,
                num_of_pages,
                sorting_key=arg_sorting_key if arg_sorting_key else None,
                sorting_direction=arg_sorting_direction if arg_sorting_direction else None,
            ),
            sorting_key=arg_sorting_key,
            sorting_direction=arg_sorting_direction,
        )
class ConfigurationView(AirflowBaseView):