Stockfish is giving me a different line after R6h7+, namely Kf6! and black is able to escape the checks. Are you seeing something different?
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I realize its not a big priority but puzzle Problem ID: 0028882
has a flawed solution (check it with stockfish) after the given solution 1...e2 white has a perpetual with 2. R6h7+ Kxg6 2. R7h6+! and dead = according to stockfish (i couldnt calculate a way to get out of the perpetual so was curious and checked)