I did try to do that, but couldn't. Tray icons aren't supported by GTK4. There is the PyStray library but it depends on GTK3, which means it's incompatible with Varia. The wxPython library offers its own tray icon functionality from what I've seen, but that's a whole GUI framework on its own. Basically it doesn't seem very likely Varia could support tray icons.

If I or someone else could find a way to do it, I too would like Varia to have this functionality.

permanent notification can be an alternative...

I created a PR for it, but it uses PyQt to create the system tray, so I'm not really sure if it'll get merged. 😅