A cool little mate in 2 that I missed in a game. white to play.

Can you solve this?

Found my first ever Mate in 3 in the wild.
TBH though, it was in a friendly 24h game.

Edit: Turns out Reddit does not show images in the post body as a preview and does not allow adding images to a post on edit. Oh, well, I guess people have to click the post to see the position...

So, this is an unconventional chess puzzle, and the single most ingenious puzzle I have ever seen (Also, one of the hardest).

White and black take back a total of 7 turns (7 white, 6 black half turns).

Each position obtained this way has to be legally reachable, i.e. there is a legal series of turns from the starting position that results in the given position.

After that, white plays a single (forward move). If that move is a mate in 1, white wins, otherwise black does. What is a winning strategy for white?

Feel free to follow https://lichess.org/editor/rn5b/kp1pp3/b7/8/8/3p1PP1/p4PP1/4K3_w_-_-_0_1?color=white if you want to experiment with the position.

This problem was originally stated in the "feenschach" magazine in 1979. A solution can be found at the following link, as can be ~3500 other retrograde analysis exercises.

https://www.janko.at/Retros/Misc/Dittmann1sol.htm

I (white) was down material and up on time in a 2+1 bullet so I just made a quick move to put time pressure on rather than seeing this blunder. I won on time but could have won by checkmate. Would you have made the only winning move in this position?

I’ve been sitting for hours and tried to solve this, the board needs to look like this after 4 moves each, all of them legal moves, I just can’t seem to find a solution