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> All you need to do is to pick more carefully (invest more resources, etc.).

This needs fleshing out. One goal is to give equal preference to equally deserving candidates, say candidates with individual score x, regardless of their group membership. It's not clear that you can pick based solely on score x and still achieve that goal, no matter how carefully you pick. If you're picking on x and group membership, you're harming one group of people with score x (assuming a fixed headcount, where advantaging one person means disadvantaging another).