Vanilla flavored ice cream with cookie dough pieces

Skim milk, sugar, cookie dough (<span class="allergen">wheat flour</span>, dark fudge chips [sugar, coconut oil, cocoa [processed with alkali], fully hydrogenated coconut oil, cocoa, salt, <span class="allergen">soy lecithin</span>, natural vanilla flavor], sugar, brown sugar [sugar, molasses], margarine [soybean oil, palm oil, water, salt, vegetable mono - and diglycerides, <span class="allergen">soy lecithin</span>, sodium benzoate {preservatives}, natural butter flavor, annatto {for color}, vitamin a palmitate added], chocolate chips [sugar, chocolate liquor, cocoa butter, <span class="allergen">soy lecithin</span>], water, natural vanilla flavor, salt, baking soda, corn starch), <span class="allergen">cream</span>, corn syrup, contains 2% or less of: whey protein isolate, guar gum, mono - and diglycerides, tara gum, cellulose gum, polysorbate 80, xanthan gum, vitamin a palmitate, carrageenan, dextrose and tapioca starch, natural vanilla flavor, annatto (for color).