How to disable iCloud notifications on one computer.

I have a MacBook, iPad and iPhone and a MacMini. The MacMini is used almost exclusively on my TV to run Plex. Often I'll turn my tv on to find a calendar or app update notification on the MacMini. I really don't need notifications on this machine at all yet I would like it to sync my bookmarks, have access to my iTunes account and Find My Mac.

So, is there a way to keep this synced on my iCloud account while disabling all notifications? The Do Not Disturb feature doesn't do the trick.