The anti stalemate hack doesn't seem to get applied in the case of three-/fivefold repetitions:
Viewing post in Chess Comp Stomp with Hacks comments
Thanks for the feedback! Fwiw, I do think the final boss can be really challenging depending on which hacks you have (and don't have). (However, you get hack points by beating the AI, so you can repeatedly defeat the AI on the non-final-battle mode to earn enough hack points to get every single hack.)
I looked at the screenshot you posted (which includes the hacks that you have used + the current board position). If you had the "mandatory capture" hack, I believe you would likely have won. The combination of "sacrificial pawn" + "mandatory capture" means that queens are required to capture your pawns, and they'll die when they do so. This means that the 5 enemy queens in your game would've all sacrificed themselves upon your remaining 7 pawns.