"Ultra-processed foods are industrial formulations made entirely or mostly from substances extracted from foods (oils, fats, sugar, starch, and proteins), derived from food constituents (hydrogenated fats and modified starch)"
> Haagen Dazs vanilla at Walgreens with only "cream, milk, eggs, sugar and vanilla."
Yes, that's an "ice cream" according to the FDA. The problem is the definition is so loose that any product with 10% milkfat or milkfat solids can be called ice cream. Which means that "ice cream" may or may not be highly processed.
You'll need to examine the ingredients to know. Which is why Ben & Jerry's can't call themselves "all natural" anymore, because, they happily include many more industrial ingredients over your Hagen Dazz.