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POWER SIMULATION -- boxa_b2_d0_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=4, control n=3   nrep=120, alpha=0.05
ground truth: stim:day=+1.604/day, rat SD=6.047, residual SD=12.42, days=11

 true stim:day interaction = +1.604 (100% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.17            |  0.33  <- observed
  5        |  0.46            |  0.58
  8        |  0.67            |  0.70
  12       |  0.90            |  0.93
  16       |  0.95            |  0.97
  24       |  1.00            |  1.00

 true stim:day interaction = +0.802 (50% of observed)
  N/group  | per-animal power | LME power
  ------------------------------------------
  3        |  0.11            |  0.11  <- observed
  5        |  0.09            |  0.14
  8        |  0.23            |  0.25
  12       |  0.33            |  0.35
  16       |  0.51            |  0.53
  24       |  0.67            |  0.66

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