Even if you don't use gmail, you can still apply the general strategy: https://blog.leftium.com/2023/11/automatic-inbox-cleanup-wit...
While the rules could automatically delete/mark the emails as read, I just tag them with labels and "skip" the inbox so I don't get an email notification.
I can mark all of them as read with a single keystroke after skimming the subject lines for anything important/interesting.