Is Ben & Jerry's "Milk" & Cookies Non-Dairy Frozen Dessert Vegetarian?

Description
Sweet cream-and-cookie flavor highlighted by abundant crunchy cookie pieces and a smooth, scoopable base. Texture combines creamy mouthfeel with intermittent crunchy bits; some reviewers note occasional icy or uneven chunk distribution. Commonly served in bowls, used as a scoopable dessert, paired with brownies, waffles, or eaten straight from the container.

Description
Sweet cream-and-cookie flavor highlighted by abundant crunchy cookie pieces and a smooth, scoopable base. Texture combines creamy mouthfeel with intermittent crunchy bits; some reviewers note occasional icy or uneven chunk distribution. Commonly served in bowls, used as a scoopable dessert, paired with brownies, waffles, or eaten straight from the container.
Ingredients
SUNFLOWER MILK (WATER, ROASTED SUNFLOWER SEEDS), LIQUID SUGAR (SUGAR, WATER), COCONUT OIL, SUGAR, CORN SYRUP SOLIDS, WHEAT FLOUR, CANOLA OIL, COCOA (PROCESSED WITH ALKALI), COCOA, PEA PROTEIN, SOYBEAN OIL, SUNFLOWER LECITHIN, SUNFLOWER OIL, SALT, CHOCOLATE, NATURAL FLAVORS (COCONUT), BAKING SODA, TAPIOCA STARCH, MOLASSES, GUAR GUM, LOCUST BEAN GUM, SOY LECITHIN, VANILLA EXTRACT, COCOA BUTTER, VANILLA BEANS. CONTAINS WHEAT, COCONUT AND SOY.
What is a Vegetarian diet?
A vegetarian diet eliminates meat, poultry, and fish but typically includes dairy, eggs, and plant-based foods. People adopt it for ethical, environmental, or health reasons. This diet emphasizes fruits, vegetables, legumes, grains, nuts, and seeds as key nutrient sources. Vegetarians often get protein from eggs, tofu, beans, and lentils. It can offer health benefits such as reduced risk of heart disease and improved weight management, though attention should be given to nutrients like iron, zinc, and vitamin B12. With proper planning, a vegetarian diet can be both nutritionally complete and sustainable.
Reviews
Delicious ice cream
I ate a normal serving last night and experienced no IBS symptoms. I just ate the other 2/3 of the container in one sitting because I am sad. Good ice cream.

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