Restrict Global Activity Stream

Hello, I would like to restrict global activity stream so that my members will only see notifications/activities/updates/@mentions that they are personally involved in (in BBPress forums that they are in, in Buddypress groups that they are in and @mentions)

So they don’t receive updates on new groups and stuff if they are not added to these groups

For clarity’s sake, please see the following screen recording to have an idea of what I mean by global activity stream: screen recording

Your advice will be greatly appreciated. Thank you very much!