Is LEMON MIXED BERRY FLAVORED CAKE, LEMON MIXED BERRY vegan?

cake base (sugar, enriched wheat flour bleached [flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid], food starch - modified, soybean oil, whey [milk], leavening [sodium aluminum phosphate, baking soda], salt, vital wheat gluten, propylene glycol mono and diesters of fatty acids, mono- and diglycerides, sodium stearoyl lactylate, dextrose, corn starch, tricalcium phosphate, natural and artificial flavor, water, citric acid, tocopherols [preservative], ascorbic acid [dough conditioner], egg, soy flour), water, heavy cream (cream [milk], carrageenan, mono- and diglycerides), soybean oil, cream cheese (pasteurized milk, pasteurized cream [milk], salt, carob bean gum, cheese culture), confectioners sugar (sugar, corn starch), enriched flour (wheat flour, malted barley flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid), egg product (eggs, citric acid [preservative]), greek yogurt (cultured pasteurized grade a nonfat milk), cranberries, blueberries, lemon spread (water, sugar, corn starch modified, butter [cream {milk}, salt], lemon juice concentrate, natural flavor, citric acid, pectin, annatto [color], turmeric extract [color]), sugar, lemon puree, lemon compound (lemon, sugar, natural flavor, sodium citrate, ascorbic acid), natural and artificial flavors (contains sugar), non-fat dry milk, dark brown sugar, whey protein concentrate (milk), butter (pasteurized cream [milk], natural flavors), food starch - modified, topping sugar (dextrose, wheat starch, palm oil, silicon dioxide [anti-caking agent], natural flavor), corn starch modified, spice, salt, soy lecithin.

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