I mean even phrasing what you're trying to do there, would be a big difficult task. Consider e.g. that Game of Life has had folks build universal Turing machin

I mean even phrasing what you're trying to do there, would be a big difficult task. Consider e.g. that Game of Life has had folks build universal Turing machines for it, and those machines can be programmed to run a Lace automaton.