(;AP[HexGui:0.10.GIT]
C[2021/07/02

Black\: Sarah
White\: Kyle

Handicap\: 0.5

White wins.]
FF[4]GM[11]PL[B]SZ[11];B[f6];W[h3];B[f4];W[e3];B[g2];W[f5](;B[g4];W[g5];
B[d3];W[d8];B[d6]
C[Peter\: I recorded this from memory and a picture of the final position. I'm not sure of the exact move order or this and the next 5 moves.]
;W[d9];B[c8](;W[b10];B[e8];W[e6];B[i4];W[h6];B[i6];W[i5];B[k4]
C[Eric\:


From here (as you mentioned, this might not be an actual game-position, but anyway), White wins even if it's Black's turn again\:

J2 is simplest.  White can alternatively use Tom's move (as White  did) or climb to D9.

See 2nd variation on the next move.]
(;W[j5];B[k5];W[i8]C[Tom's move.];B[resign])(;B[j2];W[j7];B[j5];W[h8];
B[i8];W[i7];B[h7];W[g8];B[g7];W[e9]))(;W[d7]
C[Eric\:

This is better, since now White's threatened connection to E6 does not use E7.]
))(;B[g5]
C[Eric\:

blackD6 (bottleneck) will connect to the 1-edge so Black should gain strength towards the 11-edge.]
;W[g4];B[h5];W[j2];B[d6];W[e5];B[d5];W[e4];B[c4]
C[Eric\:
 https\://www.hexwiki.net/index.php/Ladder_creation_template#Ladder_creation_templates_on_the_4th_row]
))
