Is VANILLA FLAVORED COOKIE DOUGH ICE CREAM CAKE, VANILLA vegan?

milkfat and nonfat milk, sugar, chocolate chip, cookie dough pieces (enriched unbleached wheat flour [flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid], sugar, brown sugar, margarine [soybean oil, palm oil, water, salt, mono and diglycerides, soy lecithin, to preserve freshness {sodium benzoate}, natural flavor, colored with {annatto}, vitamin a palmitate added], chocolate chips {sugar, chocolate liquor, cocoa butter, soy lecithin], water, natural flavor, salt, leavening [baking soda], cornstarch), water, hydrogenated palm kernel oil, bleached wheat flour, corn syrup, chocolate syrup (high fructose corn syrup, corn syrup, water, cocoa, sugar, to preserve freshness [potassium sorbate], xanthan gum, salt, mono and diglycerides, polysorbate 60, artificial flavor), semisweet chocolate chips (sugar, chocolate liquor, milkfat, cocoa butter, soy lecithin, natural flavor), cookie dough pieces (enriched unbleached wheat flour [flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid], brown sugar, sugar, palm oil, water, molasses, natural flavor, salt, sodium bicarbonate), contains less than 2% of the following: dextrose, coconut oil, cocoa alkali processed, palm oil, colored with (caramel color), chocolate liquor, natural and artificial flavor, cocoa, salt, sodium caseinate, soy lecithin, mono and diglycerides, wheat gluten, cellulose gum, guar gum, locust bean gum, polysorbate 65, polyglycerol esters of fatty acids, polysorbate 80, carrageenan, baking soda, polysorbate 60, soy protein isolate, carbohydrate gum, to preserve freshness (potassium sorbate), xanthan gum.

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