Well, the SC may take it out before this happens, but I always figured that it would collapse when a definitively “white” appearing student is denied entry and then shows DNA/genealogy showing they are 10-20% African.
Once they have to start doing elaborate genetic tests and specifying racial percentages to several decimal points the system can’t survive.
I'm as white as you can get, but I've done some thorough genealogical research and discovered that one of my ancestors was a pre-Revolutionary African slave in Rhode Island. I am tempted to have my daughter use this fact to her advantage in this Brave New World of racial nose counting.