Preheat oven to 350 degrees. In a medium bowl, combine first 6 ingredients with a hand mixer. (The dough will be a little sticky.)
Scoop the dough onto an ungreased cookie sheet. Smooth the edges of each to form a round cookie. Bake for 12 minutes.
Meanwhile, mix powdered sugar and peanut butter in a medium-sized bowl. Form the mixture into about 1 inch balls (1 for each cookie). Set aside.
As soon as the cookies come out of the oven, press a peanut butter ball lightly into the center of each cookie. The peanut butter mixture will soften slightly. Cool for about 5 minutes, then transfer to a wire rack.
Melt chocolate in a microwavable bowl in 30-second increments. Spoon about 1/2 a tablespoon of melted chocolate on top of each cookie so it covers the peanut butter ball. Let the chocolate set. Store in an airtight container.
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