Very clever game and quite challenging. I only had a little success. I think the amount of time that the maze walls is shown is way too short (felt like 2 seconds?). There is barely enough time to plot your first path to the goal, but (for me) not enough time to look at the rest of the maze that will be critical to adding checkpoints and rotating the board.
The idea for the game is solid and I think could be the starting point for a more complete game. The timing for how long the player get to see (and memorize the walls) is critical to reaching a broader audience without a large percent giving up in frustration due to not ever having time to learn the walls.
In fact, I almost think you could allow the player to study and memorize the walls for as long as they want. And only hide them once they take their first move. This would give the player a chance to say 'Yeah...I think I've got it memorized' and then...be able to test how well they actually remember it. Even if they look at it for a minute and 'memorize' it. I think it could still be challenging to add the checkpoints and deal with rotation. Because adding things like that can jar your memory, even if you think you had it well memorized.
Great submission. I wish I would have been better at it as presented.