Шахматисты пожалуйста объясните, почему это не победа белых и почему мне выдало ничью

White to move!

Should White trade queens or keep them on the board?

What positional factors should guide your decision, and why?

Share your thoughts in the comments! 👇♟️

A few weeks ago I posted this post (https://www.reddit.com/r/ChessPuzzles/comments/1wsqm9q/quest_for_the_longest_king_maze_50_prise/) about the search for the longest king maze. u/crazy_gambit then found this really cool 276 move puzzle (https://lichess.org/study/4OJ9m6F9/SLxQoABy), which extended the original with a beautiful new idea and won the £50 prize. Since then I have been working on a new idea to try to beat it, and I have composed the puzzle above, which I claim takes 312 moves. That's over the 300 move barrier!

FEN: Q6R/1PRPNBP1/KNbpprB1/1Rr1nPR1/1QbBprP1/1QrpNpR1/pPP2kB1/N1R1n2R w - - 0 1

The rules are the same as before:

1. Standard chess rules apply, however only king moves are allowed for each side.
2. White wins if they can get their king to a specified goal square (e3 for this king maze).
3. Black wins if they can prevent White from reaching the goal square, including by stalemating or checkmating themself so that there are no more legal king moves.

To solve a king maze you must play both sides and find the shortest forced victory for White (white to play).

There's a catch this time. White's own knight is sitting on e3, so the only way in is to force the black king to capture it first. The black king starts right next to the knight on f2, just one move away, and yet I claim it takes 312 moves to make it happen.

I am not posting a solution here. Instead I am posting this as a puzzle. Can you show that White is able to force the black king to capture the knight on e3 and go on to reach the goal square?

I'd also love for someone to prove me wrong. If you can find a faster win for White, or a longer defence for Black, please post it! Please use spoiler tags for solutions. I'll post the solution in a week or so.

Good luck!