Beat cream cheese, butter, corn syrup, and mint extract on medium speed until smooth. Gradually beat in 3 Cups powdered sugar until combined.

Turn "dough" out onto a clean surface sprinkled with remaining powdered sugar and knead until smooth and no longer sticky.

Divide dough into 3 portions and tint red, pink, and white. Roll each portion into a rope. Press together and flatten slightly. Cut out desired shapes.

Cover and chill at least 4 hours. Store covered in the refrigerator up to 1 week.