Every inbound message on every channel — portal, text, and email — fires the same admin notification path as portal support messages: bell + push, with the channel named in the copy ("New text from …", "New email reply from …", "New support message from …").
There's nothing new to configure — your existing support-message notification preferences (Settings → Notifications) apply to all channels.
Enabling Push Notifications
Permission States
If Blocked
To unblock notifications:
Notification Content
Push notifications include:
