Put a large scoop of coffee ice cream in a paper cup and use a spoon to press the ice cream into the bottom and sides of the cup. Put a heaping tablespoon of the chocolate wafer cookies on top and gently press into the coffee ice cream layer. Finish with a large scoop of chocolate ice cream, pressing into the cup. Repeat with the remaining cups, ice cream, and chocolate wafer cookies. Push a wooden pop stick about a quarter of the way into the center of each pop and cover each with plastic wrap. Freeze the pops until the ice cream hardens, at least 4 hours and up to overnight. When ready to serve, gently peel off the paper cup and serve frozen.
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