In a large microwave-safe bowl, add gum base, Kool-Aid and corn syrup. Microwave for 30 seconds and mix. Microwave an additional 30 seconds and mix again.
Create a pile of sugar on a non-stick surface and funnel out the center with your hand. Pour in the (very hot) gum mixture and begin to mix in sugar as it cools. Mix and twist your gum over and over until most of the sugar is incorporated. The longer you do this the chewier your gum will be. Roll out in 1/2-inch thickness and using a pizza or pastry cutter, cut into desired shape. Lightly toss in a bit of icing sugar before placing in your Valentine candy carton (recipe #530168).