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Then 26.f21 27.g21 28.h22 29.i22 30.j23 31.k23 or 26.g20 27.j21 28.i21 29.l20 30.k22 31.l22 - am I missing something?
The point is, white can connect either the left or the right to the bottom, and black can choose which. In order to win, white must be able to force both the left and the right groups to reach the top or connect these groups. For example 27.m7 28.m6 29.l5 30.n8 31.n9 and now 32.g20 33.j21 34.i21 35.l20 36.o11 37.t8 does not quite work, but 32.l4 33.p10 34.q11 35.k3 36.g20 does.
Compare this to the |13.n12 line in my first post, which effectively connects left to right, and the tactics to reach both the top and the bottom become simpler.
Another variation is 27.n7 28.n9 29.p6 30.l8 31.t9 32.l20 33.g21 34.m11 or 29.m9 30.g20 31.j21 32.i21 33.l20 34.r8