This is the key callout I think. It allows you to address representation problems while sidestepping opposing arguments about graduate quality.
Do it in rounds, unfilled spots open up to anyone.
If your child really wants to be a doctor but can’t get a spot, well, I’m sure that increased demand for medical spots means you’re willing to pay more, and the University can use that to expand their medical program. Or you can send them to another university.
This seems like a reasonable approach to improving systemic inequalities without causing systemic harm.