Creamy vanilla ice cream cake with cookie pieces topped with whipped icing

Milkfat and nonfat milk, oreo cookie pieces (unbleached enriched flour [<span class="allergen">wheat flour</span>, niacin, reduced iron, thiamine mononitrate {vitamin b1}, riboflavin {vitamin b2}, folic acid], sugar, palm and/or canola oil, cocoa [processed with alkali], high fructose corn syrup, leavening [baking soda and/or calcium phosphate], salt, <span class="allergen">soy lecithin</span>, chocolate, artificial flavor), <span class="allergen">whey</span>, sugar, corn syrup, hydrogenated palm kernel oil, contains less than 2% of the following: dextrose, oreo wafer (unbleached enriched flour [<span class="allergen">wheat flour</span>, niacin, reduced iron, thiamine mononitrate {vitamin b1}, riboflavin {vitamin b2), folic acid], sugar, canola oil, cocoa [processed with alkali], high fructose corn syrup, wheat starch, salt, baking soda, <span class="allergen">soy lecithin</span>, chocolate, artificial flavor), natural and artificial flavor, propylene glycol mono and diesters of fats and fatty acids, mono and diglycerides, guar gum, calcium sulfate, cellulose gum, carrageenan, sodium caseinate, polyglycerol esters of fatty acids, <span class="allergen">soy lecithin</span>, polysorbate 60, soy protein isolate carbohydrate gum, salt, to preserve freshness (potassium sorbate) xanthan gum.