Or, the mind is not the brain. No one has ever proven it is.
The trouble is that what the author has done is base their argument on an assumption of dualism, but not made that assumption explicit. If made more explicit, the question-begging becomes more obvious: "If we assume there is something special and meta-physical about the human mind which is not replicable anywhere else, then artificial intelligence is impossible". Well, yeah. But putting it that way doesn't make for a very dramatic article...
A human isn't some magical entropy reducer -- we reduce entropy in ourselves by increasing it elsewhere. I suspect mutual information works the same way.
So, this could go two ways. Either humans are not net entropy reducers, and also not information creators. Or, they are information creators, and thus are net entropy reducers. Not sure there is evidence the latter is false.
A broader point is that regardless of whether the human mind is an entropy reducer, something in existence is an information creator/entropy reducer, otherwise we wouldn't have information/low entropy to begin with.