Is CARROT CREME CAKE vegan?

sugar, water, bleached wheat flour, soybean oil, eggs, crushed pineapple in juice (pineapple, pineapple juice), diced dried carrots, invert sugar, contains less than 2% of each of the following: enriched flour bleached (wheat flour, ferrous sulfate, niacin, thiamine mononitrate, riboflavin, folic acid), palm oil, nonfat milk, corn syrup, food starch-modified, vegetable shortening (partially hydrogenated soybean oil, hydrogenated cottonseed oil, polyglycerol esters of fatty acids, monoglycerides, tbhq [preservative], citric acid [preservative]), whey, partially hydrogenated soybean and/or cottonseed oils, egg whites, salt, mono- and diglycerides, cornstarch, soybean oil and/or canola oil, caramel color, sodium aluminium phosphate, natural and artificial flavors, baking soda, wheat gluten, cinnamon, dextrose, vegetable shortening (partially hydrogenated soybean and cottonseed oils, soy lecithin), soy lecithin, soy flour, calcium carbonate, beta-carotene (color), cellulose gum, egg yolks, potassium sorbate (preservative), sodium propionate (preservative), calcium sulfate, sodium stearoyl lactylate, xanthan gum, leavening (sodium aluminum phosphate, baking soda), titanium dioxide (color), propylene glycol, partially hydrogenated canola oil and/or partially hydrogenated cottonseed oil, maltodextrin, agar-agar, locust bean gum, sodium hexametaphosphate, tbhq (preservative), citric acid (preservative), yellow 5, yellow 6, coconut oil, red 40.

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