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1. Rook sacrifice
2. Mate
Yeps!
1. … Rh3:
2. Kh3: Qg3#
2. gh3: Qg1#
Mate in 2.
1. – , Rxh3+! 2. Kxh3 (2. gxh3 Qg1#) Qg3#
As a very technical aside, after
2 . . Qh3+
3. Qh4 Qxh4 mate
I see my previous comment was wrong (mixing White and Black).
Sorry about that.