Chocolate ice cream with cookie dough pieces and fudge flakes

Milk, cream, liquid sugar, cookie dough pieces [wheat flour, sugar, brown sugar, butter (cream, salt), water, soy oil, chocolate chips (sugar, chocolate liquor, cocoa butter, soy lecithin, vanilla extract), corn starch, molasses, salt, natural flavor, soy lecithin, baking soda], corn syrup, skim milk, buttermilk, fudge flakes [sugar, coconut oil, cocoa (processed with alkali), cocoa, milkfat, soy lecithin, natural flavors, vanilla extract, milk], cocoa (processed with alkali), milkfat, whey, mono - and diglycerides, guar gum, cellulose gum, carrageenan, dextrose.