The post Checkmate in ωmoves? has inspired a lot of discussion and mathematical research into positions on an infinite chessboard where white can mate in a transfinite amount of moves. The current record for a game value of a position with finitely many pieces is ω⋅n with an arbitrary natural number n.
Is it possible to achieve ω²?
I believe that I have found such a position, which I will share in the answer of this post - Q&A style.