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1.Bxe6 Nxe6 2.Qxg6+ Kh8 (2… fxg6 3.Nf6+ Kh8 4.Rh7#) 3..Rxf7 Ng5 4.Nf6 Nf3+ 5.Kg3 and White is slightly ahead.
I missed 3.Nf6.
Black could try 1… Nf3+ 2.Qxf3 Bg7 3.Bxf7+ Kh7 4.Bxg6+ Kh8 (4… Kxg6 5.Qg4+ Kh7 6.Qxg7# or 4… Kg8 5.Qb3+ Kh8 6.Rxg7) 5.Qxb7 (threatening Rd8+ Qf8 Qxg7#) but White still ends up slightly ahead.
1. Bxe6. Nxe6. 2. Qxg6+!
2…….fxg6. 3. Ng6+. Kh8. 4. Rh7#
2…….Kh8. 3. Rxf7. Ng5. 4. Qf6+. Kg8. 5. Rg7+!. Kh8. 6. Rxg5+. Kh7. 7. Qf7+ and mate next move. Kh8.(if Bg7. 8. Qxg7#) 8. Q/Rg8#
Other moves loses even faster.
It’s actually “it loses” and “they lose” but it would look more logical to have “it lose” and “they loses”, and also a better phonetic spelling of lose would be luse.
1. Nf6+ Kg7
2. Ne8+ Kh8
3. Rxf7 b5
4. Nf6 Ra7
5. axb4 g5
6. Bxc5 Rxf7
it’s a winning ending for white
I misspelled 6. bxc5 Rxf7
Why 2. Kh8 and not Kg8? Black should try for draw by repetition.
if 2. Ne8+ Kg8
3. Be6 Kh8
But the first move Bxe6 is better because it leads to mate quicker than my line