Frosted party cake ice cream

MILK, SUGAR, BLUE ICING [CORN SYRUP, SUGAR, WATER, MODIFIED CORN STARCH, CONTAINS 2% LESS OF NATURAL AND ARTIFICIAL FLAVOR, SALT, POTASSIUM SORBATE (PRESERVATIVE), GUAR GUM, TITANIUM DIOXIDE (FOR COLOR), CITRIC ACID, BLUE 1], CORN SYRUP, CAKE PIECES [ENRICHED WHEAT FLOUR (BLEACH WHEAT FLOUR, NIACIN, REDUCED IRON, THIAMINE MONONITRATE, RIBOFLAVIN, FOLIC ACID), SUGAR, PALM OIL, EGGS, CORN STARCH, ARTIFICIAL FLAVORS, ANGEL CREAM (CALCIUM SULFATE, MONOCALCIUM PHOSPHATE, ADIPIC ACID, CORN STARCH), SODIUM BICARBONATE (BAKING SODA), SALT, YELLOW 5, RED 3, BLUE 1], NONFAT MILK, WHEY, CONTAINS 2% OR LESS OF CREAM, POLYDEXTROSE, CALCIUM CARBONATE, PROPYLENE GLYCOL MONOESTERS, GUAR GUM, MONO & DIGLYCERIDES, CELLULOSE GUM, CARRAGEENAN, NATURAL AND ARTIFICIAL FLAVOR, CARAMEL COLOR