Definition of SAUCE

Definition of 'sauce' by Merriam-Webster

The definition of broth is “liquid in which meat, fish, cereal grains, or vegetables have been cooked”

So it would be a broth if you cooked the cereal in the milk.

Wait a minute now… What if that is not cow milk but a milk alternative? Oatmilk, rice milk or almond milk. Could a alternative milk not be a broth?
Thank you for providing sauce for your answer.