Got it - its just a joke (an attempt at a joke). The TTS voice says ズルズルズルズル and the other voice says, "what? what happened?", and the TTS voice then says hiyashi-chūka ume. You probably know that hiyashi-chūka is a food that is slurped. So the set-up is the slurping sound, and the punch line (if you want to call it that) is the voice saying "冷やし中華うめぇ" - something completely unexpected and unconnected to the scene. A tiny fragment of absurdist humor. (Maybe also funny because of the image of the mech voice actually eating something).
Edit: Then, a few seconds later, the second voice says basically that the maid was rescued safe and sound (ああ、無事だった。よし、救出完了) and the other voice continues, "hiyashi-chūka, gochisosama". So its just trying to be funny by playing the one voice concentrating on the game, against the other voice which is apparently concentrating on eating the hiyashi-chūka