Mixed can be used as one classification I think whether it be an asian and black couple or asian and white . They are both mixed , to break it down by what they are mixed with I think just causes unneeded confusion . Not to sound derogatory to mixed people but we call all dogs who are not pure bred mutts regardless of who they mated with.
So, basically, you create an artificial racial category for
all mixed people, irrespective of phenotype and genotype? Or, in other words, a social construct?
Also, no we don't call all dogs who aren't "pure bred" mutts. Maybe you do, but most people, in my experience, either give the breed a new category, or hyphenate the breeds that have made up the new type of dog.
I not sure about your third question it is very unlikely and have to think about that because their genes are recessive so if they ever got with someone who was the standard of their race their kids would look normal most likely
It happens often, and has happened many a time in human history. Give it some thought, and decide whether you understand how racial categorisation can be affected by individual bias, if no scientific or intelligent rigor is consistently applied.