Sie ist nicht Mitglied.

Shouldn’t this be “Sie ist kein Mitglied” (replacing ‘nicht’ with ‘kein’) because the negation is related to a noun?

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The sentence was added by the German corpus maintainer of Tatoeba, so I think it is reliable.

https://tatoeba.org/eng/sentences/show/1745788

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Both are perfectly fine in everyday speech but your’s is the more common variant that I’d also preferably use in written language.

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Beides ist richtig. = Beide sind richtig.
Both of them are correct. The two of them are correct.

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