To keep changes to the protocol and number of parameters low, wouldn't it be a possibility to consider multiple 'throws' of a frisbee?
So if the engine decides to play a move you have the described arrangement of hitting adjactent fields with probability eps. If this results in a move outside the board or an illegal move, you just repeat until you get a legal move. This could even mean, that you could even use an existing engine without change. You just add the additional step generating the random noise on the moves.
Or is this orthogonal to the envisioned game?
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