White to move and mate in 3
K Gavrilow
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1 Nf6 Kxh1
2 Ng4 Bh2
3 Nxf2#
1 Nhxf2 Bxf2
2 Kxf2 Kh1
3 Ng3#
3. … Kh2 but you got half of the concept right, kings have low potential mobility from a corner square.