How to specify notifications for STHM alarm response?

It should notify you (push message), if not try to reinstall it and check the notification settings.

You can also check out this app which can be used in conjunction with the STHM dashboard but you can customize it a lot more including, entry/exit delays, beeping sounds (countdown if you’re using a Ring Keypad), announcing it over speakers, notifications and much more: [RELEASE] Security System: Intruder Alert with Actions