WinSetState(title,text,@SW_MINIMIZE) not sending program to tray

I'm using a program that will automatically hide itself and create a tray icon when it is minimized. However, the AutoIt way of minimization does not seem to activate this function for the program - it simply minimizes down to the task bar like any normal program would do.

Outside of directly sending keystrokes, how can I emulate an actual "minimize" button press for this program? ControlSend (and similar Control functions) are acceptable.

EDIT: More info:
The program is MME Audio Repeater from Virtual Audio Cable, for anyone wondering.
I can't just @SW_HIDE the program as it only creates the tray icon if it's minimized properly