ok, i understand why you're asking this question.
first—i trust that i don't have to explain the intended meaning; in this context, there is only one thing that this phrase could possibly mean.
if the intended meaning is unclear, just think about it for a bit (with ordinary common sense—don't try to 'bend' the words into some weird/farfetched interpretation).
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with this sort of thing—as usual—the best protocol is to memorize a few illustrative examples.
then, when you see other constructions of this sort in the future, make analogies to the ones you've memorized—until you've developed a sufficient intuition.
here are some examples:
800 is the highest score that anyone can get on the GMAT.
250 is a score that anyone can get on the GMAT.
When she was alive, Florence Griffith-Joyner could run faster than any other woman.
Unlike Mariah Carey, whose songs use most of her legendary vocal range, Britney Spears mostly sings songs that any other woman could also sing.
you'll notice a pattern here:
• if 'anyone' is compared with a comparative or superlative (faster, fastest, higher, highest, better, best, worse, worst, etc.), then it usually means the same sort of thing that it means in the sentence at hand.
• if not, then it is more likely to mean 'any individual person at all'.
again, though, context is king, and common sense is queen.
ALL of these examples have one thing in common—namely, there is only one reasonable interpretation for each sentence.
this is why the word 'anyone' can play two roles that are so starkly different—there's no way that any of these sentences could possibly be ambiguous.