Cross-workspace notification indicator for multi-org users

Users who are part of multiple organizations have no way of knowing that there are unread messages or activity in a different workspace without manually switching between environments or notifications on phone.

Could there be a visual indicator or badge that alerts you to activity in an inactive workspace?

Impact: Users with multiple workspaces (customer community) are forced to switch to check for new activity. This leads to delayed responses, missed messages and a fragmented experience.