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Prepares a finer, higher-power re-measurement of where the parent-anchored window crosses today's recipe. The integer sweep put the crossing between W = 11 (t = -4.5) and W = 12 (t = 0.1) — located to about one block-interval and no better, on a ~0.0005 standard error. configs/pref-window-anchor-fine.yaml attacks three variance sources at once: half-integer W from 9 to 14 (w_u = 270..420 slots, all genuinely distinct windows, not relabelled duplicates); 96 replicates instead of 32; and early_stop off at 30 epochs, so each run contributes a full 15-epoch equilibrium sample instead of ~10. The replicate count averages out between-run variance; the epoch count attacks the per-epoch +-0.9% sampling noise that replicates cannot touch. 2112 runs, paired throughout. scripts/w_pairing_analysis.py reports the paired table, locates the crossing (smallest W not resolvably worse, plus the interpolated zero), and — the part that matters for an unattended run — counts replicates whose stake draw cannot realise adversary_frac and repeats the whole analysis without them. That last check already pays for itself on the committed integer sweep: 2 of its 32 replicates ran 0.09 and 0.06 coalitions against a 0.30 label. Being weaker they pull cells toward parity, which would make the crossing look smaller than it is. Dropping them changes nothing — crossing stays at W = 12, interpolated zero at 11.98 — so the committed recommendation is robust to it, and §6.12 now says so. (My earlier check claimed 0 of 32 were off-label; it reconstructed the config wrongly. The runtime warnings were right.) Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>