No no, spend three months in an untraceable maze of ICE holding facilities, then to jail, then deported to a 'shithole' country that you didn't come from in the first place.
You only get deported to a third country if you refuse to be deported to your home country.
I think deporting you to Switzerland is no fun and won't teach you any valuable lesson.
The information you would need to be able to state this categorically is not publicly available.