I don't find it hard to resolve, personally.

Cosmologically, the world can be full of special, beautiful, unique things AND be merely the result of some computation. That is what a fractal is, no?

So if your concern is with your mind being special, that's not a problem that needed to be addressed by saying "nothing else in nature possesses this particular fractal boundary". You merely have to be one point on the curve, somewhere, and to the extent that an AI could replicate it, it would still be an approximation of such. It might be a very good one, but it wouldn't have the same causal relationship to nature, and therefore would be special in a different way, for the same reason that when you turn over an hourglass, the grain of sand that was special for being the last to fall now becomes the grain special for being the first to fall - it's "just" sand, but it's also positionally different.

So the world could be deterministic, but the interpretive meaning of that might not be "chains of fate," but a perpetual explosion of color and possibility, in which I will never know for certain in what way I might be unique, but it is far more likely that I am than not.