After checking Microsoft's documentation on system tray icons (that I could find):
I've noticed that a window handle (HWND) is REQUIRED. This is very bad for what I'm trying to accomplish, as I'm looking to create a program that only reacts to the system tray: it doesn't "minimize" the window to the tray, it just uses notifications (clicking/right clicking on the icon) to interact.
How would I go about doing this?