Hey Kaitlyn, there’s no way to filter items that flow through the inbox (vote for it here though!)
However I will say that if you wanted to see things with certain tags, etc. then maybe utilizing advanced searches would be beneficial? It won’t clear out the inbox per se, but might help. Maybe you can set it so that you don’t follow tasks and just have people @ you when it’s done, or needs your attention, etc.
In general though I recommend practicing ‘Inbox Zero’, I get hundreds of notifications and it can be super overwhelming, but overall I just really like going through each one until I hit zero. Also I judiciously use the ‘create reminder task’ hack in the inbox for tasks that require action, but I’m not ready to do it just yet (like maybe I’m cleaning out my inbox, etc.). You just hit the button and it assigns you a task to follow up on that task, and removes the notification. Fantastic thing.
But yeah if yall have a system using tags, advanced search will help a lot! =)