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PROPHECY (def.)the foretelling or prediction of what is to come. something that is declared by a prophet, especially a divinely inspired prediction, instruction, or exhortation. a divinely inspired utterance or revelation: oracular.
Those are all of the multiple different definitions from your source. The specific highlighted definition certainly does apply.
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But you seem to see a convenient parallel.
I simply see that a prediction is a prediction. Period.

Incidentally...from New Oxford American Dictionary:

proph·e·cy - a prediction.

‘Same’ as the highlighted definition that you posted.

Every day on this side of the ground is a win.