Hi,
Best is to forward these alerts into ITSM system and create incidents out of them. Incidents allows you follow trough the whole cycle from the beginning of the problem to its resolution. Action groups offer integration with a few ITSM systems by ITSM connector. You can of course write your own integration if the ITSM system has some API by calling the API directly via automation service like Logic app, function or automation runbook. From the ITSM system you can set some additional notification via systems like Pager Duty. Of course you can make your action group in a way that both creates incident in ITSM and in the same time uses Pager Duty for notification.
I hope that answers your question.