Easy churned, cookies 'n cream light ice cream

Milkfat and nonfat milk, sugar, corn syrup, cookies [sugar, enriched flour (wheat flour, niacin, reduced iron, thiamin mononitrate, riboflavin, folic acid), soybean and palm oil with tbhq for freshness, cocoa (processed with alkali), invert sugar, contains 2% or less of yellow corn flour, cornstarch, chocolate, salt, leavening (baking soda, monocalcium phosphate), artificial flavor, soy lecithin, whey], contains less than 2% of whey protein isolate, tapioca starch, guar gum, mono and diglycerides, tara gum, cellulose gum, polysorbate 80, xanthan gum, carrageenan, vitamin a palmitate, natural flavor, annatto (color).