We are working on a change to the systray icon to show new activity in a way other than a red dot only so it is differentiated from busy state. We’ll keep you posted. Thanks!Vlado Groch commented
I have to agree that red dot is not enough. It's used as a status (in the meeting) and using same visual for missed chats is a bad decision.
Small bubble icon (even better with some visual indication - e.g. flashing) would do the job much better