There is just one solution for the first 3 moves - provided you let white start. Educated solvers will generally assume that white starts when the coordinates show white started the game from the bottom.
You made an "error" in the FEN (where black starts) but it does not really matter as long as no text specifies anywhere which side starts! I hope that's clear since chess.com's puzzling rules are rather confusing.
So it's not an anti-puzzle.
Check out this puzzle with multiple solutions. Perhaps you could call it an "anti-puzzle". [Edit on 9/28/2023 at 2:43 PM EST: It is black to play]