i lost a game while i was at school because of auto resign in infinite correspondence aganist the computerlichess.org/RdXxf3C1#36
So what? You don't lose rating, plus it was against a computer. just go to that position in "Analysis Board" and then hit "Continue From Here", then choose Stockfish lvl 1, and it'll basically be that game.
Yeah I remember when I lost a game against someone even though it was infinite correspondence. It was casual though.