Super Chunky Cookie Dough Ice Cream

milk, cream, skim milk, sugar, buttermilk, whey, cookie dough chunks {wheat flour, brown sugar, interesterified soybean oil or soybean oil and hydrogenated soybean oil, sugar, chocolate chips (sugar, unsweetened chocolate, cocoa butter, soy lecithin, vanilla extract), water, corn starch, baking soda, natural flavor, salt, soy lecithin, natural , artificial vanilla}, cookie dough batter {high fructose corn syrup, corn oil, sugar, brown sugar, water, unbleached wheat flour, butter (cream, salt), nonfat milk, salt, soy lecithin, natural flavor, caramel color}, cookie dough flavor base (brown sugar, sugar, water, molasses, unbleached wheat flour, salt), chocolate chunks (sugar, coconut oil, cocoa processed with alkali, cocoa powder, milkfat, soy lecithin, vanilla extract, natural flavor), corn syrup, contains 1% or less of carob bean gum, guar gum, carrageenan, mono , diglycerides, cellulose gel, cellulose gum,