alpha=0.05 p=[0.982, 0.018, 0.0]
  reward=0.9964 entropy=0.0901 objective=1.0009
alpha=0.20 p=[0.7275, 0.2676, 0.0049]
  reward=0.9416 entropy=0.6103 objective=1.0636
alpha=1.00 p=[0.4573, 0.3744, 0.1682]
  reward=0.7569 entropy=1.0255 objective=1.7824
Reward/temperature rescaling check: passed
All 15,453 simplex candidates satisfy J(p*)−J(p) = alpha × KL(p || p*) within 1e−12.
