Final answer:
The dish that does not contain any animal products is Vegan béarnaise sauce, which is designed to be vegan. Mushroom risotto and roasted vegetables can also be vegan if prepared without animal-derived ingredients.
Step-by-step explanation:
To answer which dish does not contain any animal products, let's look at the options you've provided. Option A, Vegan béarnaise sauce, is specifically designed to be vegan and therefore does not contain animal products. Option B, Mushroom risotto, might traditionally include dairy, such as butter or cheese, but can be made vegan if these ingredients are omitted or replaced with plant-based alternatives. Option C, Roasted vegetables, are typically vegan as long as they are not cooked with animal-based products like butter or lard. To ensure a dish is vegan, it is essential to confirm that no animal-derived ingredients are used in its preparation.