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BRUSH cut sides of ladyfingers evenly with 1/4 cup coffee; arrange on bottom and up side of 2-qt. bowl.
BEAT cream cheese and remaining coffee in large bowl with whisk until blended. Gradually beat in milk. Add dry pudding mixes; beat 2 min. Stir in half the COOL WHIP; spoon into prepared bowl.
REFRIGERATE 1 hour. Top with remaining COOL WHIP just before serving.