Is LABREE'S BAKERY, HOME STYLE MARBLE SWIRL CAKE vegan?

cake [sugar, water, bleached enriched wheat flour (flour, niacin, iron, thiamine mononitrate, riboflavin, folic acid), eggs, soybean oil, cocoa (processed with alkali), vegetable shortening (palm oil, mono and diglycerides, polysorbate 60), corn syrup, food starch-modified, whey, dough improver (water, mono and diglycerides of fatty acids, glycerol, propylene glycol, propylene glycol esters of fatty acids, salts of fatty acids, sodium hydroxide, calcium chloride), vital wheat gluten, salt, sodium aluminum phosphate, dextrose, titanium dioxide, sodium propionate and potassium sorbate (preservatives), oleyl lactylic acid, natural and artificial vanilla flavor, sodium bicarbonate, propylene glycol monoesters, mono and diglycerides, datem, beta carotene, soy lecithin, carboxymethylcellulose, colors (annatto extract, turmeric), artificial flavor, yellow 5, gum arabic, citric acid, xanthan gum] icing [sugar, vegetable shortening (palm oil, mono and diglycerides, polysorbate 60), water, corn syrup, corn starch, cocoa (processed with alkali), natural and artificial vanilla and butter flavors, sorbitan monostearate, salt, glycerin, food starch-modified, guar gum, phosphoric acid.

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