Before Achilles reenters the battle, he was warned that he is fated to die shortly after he kills Hector by his mother Thetis.
The mother of Achilles, Thetis prophesied that he had two fates in life. It was either that he lived a short life marked by a glorious achievement or he retired to Phtia, he will return to obscurity till his old age and death.
Initially, he chose life over glory. But when his beloved friend, Patroclus died in battle, he could not resist the urge to avenge his death.
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The answer could be A or B because the date of the webpage could be outdated and the author of the page could be unreliable. I personally would say A.
