(;AP[HexGui:0.10.GIT]
C[2021/08/06

Black\: Sarah
White\: Peter

Handicap\: 1

White wins.
]
FF[4]GM[11]PL[B]SZ[13];B[c12]C[White does not swap.];B[g8];W[i5];B[h5];
W[h4];B[g4];W[h3];B[f3];W[f4];B[d5];W[d4];B[e4];W[e6];B[c7];W[d8];B[c9]
C[Eric\:

I'm guessing Black either didn't realize D8 has a ladder-creation template or didn't realize D4 will escape the ladder.

White has an escape for height-2 ladders along the A-edge (D4), so in general, Black should only play in that area or in White's ladder-creation template if Black has some idea of what Black will get in return for White keeping White's connection.]
;W[d9];B[b11];W[c10]
C[Eric\:

Due to the handicap, I might've tried c8 \:-), hoping Black would respond with A9 rather than noticing that it doesn't even threaten to keep White off of the A-edge.]
;B[b10];W[c11];B[b12];W[c8]
C[Eric\:

Now White has a wall here, where before Black could've tried B9 followed by D9 or B10 followed by C9.

Those could've been helpful for trying to separate {C8,D6,F4} from {H3,H4,I5}, using F5 instead of G3.]
;B[a9];W[b8];B[a8];W[b7];B[a7];W[c5];B[b5];W[c3];B[k3];W[j2];B[l1]
C[Better\: l3. Playing l1 gives White a ladder escape.];W[j4];B[g3]
C[Better\: f5

Eric\:

Now I can prove that White wins. 

White kept the win for the rest of the game.
]
;W[g5];B[k5];W[j6]C[Eric\: L2 is simpler.];B[k7];W[m4];B[k6];W[k4];
B[resign])
