Is COOKIES N' CREME CAKE ICED WITH COOKIES N' CREME BUTTERCREME FLAVORED ICING, FINISHED WITH A CHOCOLATEY POUR AND TOPPED WITH A COOKIE, COOKIES N' CREME vegan?

sugar, water, enriched wheat flour bleached (flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid), palm oil, canola oil, soybean oil, crushed chocolate sandwich cookie (sugar, enriched wheat flour [flour, niacin, reduced iron, thiamine mononitrate riboflavin, folic acid], soybean oil and palm oil, canola oil, cocoa processed with alkali, invert sugar, high fructose corn syrup, degerminated yellow corn flour, corn starch, unsweetened chocolate leavening [baking soda, calcium phosphate, monocalcium phosphate], salt, artificial flavor, soy lecithin, whey), contains less than 2% of cellulose gum chocolate sandwich cookie (enriched wheat flour [flour, malted barley flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid], powdered sugar [sugar, corn starch], sugar, palm oil, sunflower oil, cocoa processed with alkali, yellow corn flour, leavening [baking soda, monocalcium phosphate], salt, soy lecithin, natural flavor, unsweetened chocolate), citric acid, cocoa processed with alkali, corn starch, corn syrup, dextrose, egg whites, egg yolks, food starch-modified, glycerin, invert sugar, leavening (baking soda, monocalcium phosphate, sodium acid pyrophosphate, sodium aluminum phosphate), mono-and diglycerides, natural and artificial flavor (milk), nonfat milk, palm kernel oil, polysorbate 60, polysorbate 80, potassium sorbate (preservative), propylene glycol mono- and diesters of fatty acids, salt, sorbic acid (preservative), sorbitan monostearate, sorbitan tristearate, soy lecithin, sunflower lecithin, xanthan gum.

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