Opponent’s options: QUEYS 4f (18), QUERY a5 (17), TOQUE o8 (15)
Scoring options: ATARAXY o7 (25), ORYX c10 (36), ARRAY/OX setup (a6)
In Puzzle 11, the best play is ARRAY a6 (8), setting up your X. If your opponent blocks X plays, you can then play GOA, blocking their Q options and sticking them with the Q. This does slightly better than the simple out in two of ATARAXY + O plays.