Using Apple Push Notifications Console with Safari Web Push?

I'm using standard Safari Web Push, but my notifications aren't coming through. I'm trying to debug this.

Is it possible to use the Apple Push Notifications Console to debug/analyze Safari Web Push deliverability?

I can't figure out how to use it for web push. When I login and try to use the Push Notification Console, it asks me to choose an "app." But for standard Safari 16+ Web Push, there is no "app," no "Website Push ID", etc. that I register with Apple. So how can I use the Push Notification Console for this?

Apple's documentation does strongly imply that it should work.

Sending web push notifications in web apps and browsers:

To resolve an error, address the issue and resend your push notification request. For more information about the factors that impact the delivery of a push notification, see Viewing the status of push notifications using Metrics and APNs.

And that page is all about the Push Notification Console. So it must be possible somehow, right?