Is PUDDING CAKE, HONEY BUN vegan?

cake ingredients: sugar, enriched flour bleached (wheat flour, niacin, iron, thiamine mononitrate, riboflavin, folic acid), soybean oil, modified food starch, whey, leavening (baking soda, sodium aluminum phosphate), mono and diglycerides, salt, vital wheat gluten, propylene glycol mono & diesters of fatty acids, sodium stearoyl lactylate, sorbitan monostearate, calcium acetate, dextrose, guar gum, xanthan gum, polysorbate 60, natural and artificial flavor, soy flour, water, whole eggs, nonfat dry milk, palm oil, corn syrup solids, disodium phosphate, sodium acid pyrophosphate, titanium dioxide (as color), sodium caseinate, dipotassium phosphate, carrageenan, malted barley flour, sour cream (milk, milk fat, grade a whey, modified food starch, sodium phosphate, guar gum, carrageenan, calcium sulfate, locust bean gum, lactococcus lactis, leuconostoc mesenteroides. natamycin), carboxymethylcellulose, soy lecithin, sodium bicarbonate, colors (annatto extract, turmeric), sodium propionate, baking powder (corn starch, sodium bicarbonate, sodium aluminum sulfate, monocalcium phosphate), fd&c yellow #5, fd&c yellow #6. glaze & topping ingredients: sugar, powdered sugar, water, corn starch, corn syrup, high fructose corn syrup, food starch-modified, agar, guar gum, potassium sorbate (as preservative), citric acid, honey, pectin, phosphoric acid, sodium benzoate (as preservative), dextrose, artificial flavor, maltodextrin, carrageenan, locust bean gum, dextrin, brown sugar (sugar, invert sugar, and cane molasses), cinnamon.

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