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POWER SIMULATION -- boxa_a2_d6_10   [metric: # successes (count)]
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model: behavior ~ stim + day + stim:day + (1|rat)   (behavior = # successes (count); day within-window)
observed groups: stim n=3, control n=3   nrep=120, alpha=0.05
ground truth: stim:day=+1/day, rat SD=6.344, residual SD=8.208, days=5

 true stim:day interaction = +1 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.03            |  0.05  <- observed
  5        |  0.09            |  0.13
  8        |  0.10            |  0.11
  12       |  0.12            |  0.14
  16       |  0.12            |  0.14
  24       |  0.27            |  0.32

 true stim:day interaction = +0.5 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.05            |  0.09  <- observed
  5        |  0.07            |  0.07
  8        |  0.05            |  0.07
  12       |  0.09            |  0.09
  16       |  0.08            |  0.11
  24       |  0.12            |  0.12

Read the per-animal column as the honest power; LME is optimistic (obs-level DF).