Ah, I see. That seems like it would run into a problem similar to what the old “McDLT” was designed to get around, though. I totally understand wanting a warm cookie with melty chocolate - but you then want ice cold milk to go with that. Pouring cold milk into a hot cookie cup is going to pretty rapidly move toward temperature equilibrium and tepid milk with cookie just doesn’t sound appealing to me.
Of course - to me, the only time milk for drinking should be warm (or hot) is if it’s being made into cocoa. 