If a white person has 3% black blood does that automatically makes them black?

Let's say they're as white as Mick Jagger, but their great-great-great-great-great-great-grea... grandmother or grandfather was a black person from Ghana. Since some people today still go by the silly one drop rule, does that technically make that person black?
Update: Let me re-phrase that. Instead of saying black blood let me say black ancestry. LOL.
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