Is PREMIUM ICE CREAM CAKE vegan?

ice cream (cream, skim milk, whey powder, sucrose, corn syrup, stabilizer & emulsifier [mono & diglycerides, guar gum, locust bean gum, calcium sulfate, polysorbate 80, carrageenan]), icing (water, sugar, partially hydrogenated palm kernel oil, dextrose, corn syrup, contains less than 2% of: sodium caseinate, potassium sorbate & sodium benzoate (preservatives), carbohydrate gum, polysorbate 60, artificial flavor, salt, soy protein isolate, polyglycerol esters of fatty acids, mono & diglycerides, sodium citrate, disodium phosphate, soy lecithin, xanthan gum), chocolate crunch (bleached wheat flour, sugar, caramel color, palm oil, contains 2% or less of: cocoa, baking soda, salt, soy lecithin), cocoa powder (cocoa processed with alkali, sugar, salt, carrageenan, vanilla), soy & coconut oils, decorations (sugar, rice flour, partially hydrogenated cottonseed and/or soybean oils, corn starch, gum arabic, cellulose gum, confectioner's glaze, carrageenan, soy lecithin, artificial flavor, water, high fructose corn syrup, glycerine, artificial colors (may contain titanium dioxide, carmine, yellow 5, yellow 6, red 3, red 40, blue 1, blue 2, blue 2 lake), modified food starch, preservatives (may contain sodium benzoate, potassium sorbate, methyl paraben, propyl paraben), xanthan gum and/or agar gum, citric acid, may contain salt and/or sorbitol), topping base (water, partially hydrogenated palm kernel oil, sugar, corn syrup, contains less than 2% of: polysorbate 60, carbohydrate gum, natural & artificial flavor, salt, sodium stearoyl lactylate, sorbitan monostearate, sodium citrate, soy lecithin, xanthan gum), natural & artificial vanilla flavor.

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