Best Move for Black


Here white moved Rook to g3 to protect the g6 pawn.  If Black king captures the Rook Kxg3, the white pawn at g6 is heading to get itself promoted to queen with a check and it might be dangerous for black.  


So, what are the options for black? 



HINT: Black should avoid the Kg3, instead Keep advancing the pawn e3, e2.  Then Rd2#



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