NO EFFECT (with mechanistic insight). Mid-rate refuge turnover imposes a reliable switching penalty (d=-4.99, 99.9% sign consistent) without producing the hypothesized cooperation gain (coop gain is weakly negative, d=-0.70, only 20.9% positive). The mixed-strategy gain is modestly positive (d=0.61, 75.6% consistent) but too small to offset the switching cost. The 26.7% support fraction across 1600 seeds shows the geometry exists in a minority of configurations but lacks functional benefit. Turnover disrupts strategy persistence more than it promotes cooperative refugia.
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