Interesting concept. It could be interesting to add in the concepts of check and checkmate into this version of chess, although I'm not sure if that would help or hinder the game.
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Thanks for the feedback! The main reason I didn't include the concepts was that I wanted funny random scenarios to happen (for example the player tried to kill the enemy king but the unit moves in the opposite direction and kills its own king by mistake). I will definitely experiment with them though and try to find a way to make them fit.