this might not really matter since the ending won't change, but wouldn't 2. g8=Q+ be better? it leads to a quicker mate..
passed pawns own!
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really? well doesn't it look more dynamic for the queen trade to occur and then teh passed pawn to become unstoppable? It just counteracts his thinking that it is good to trade queens all the time in teh endgame when up by pawns.
its pretty basic really
enjoy!