Uhm - obvious answer: "Thank you very much for the hint that living forever is indeed a possibility permitted by the fundamental laws of the universe. I think I can figure it out before the lifespan my current odds give me are up, and if I cant, I bloody well deserve to die. Now kindly leave, I really do not intend to spend what could be the last hour of my life haggling."

Mostly, this paradox sets off mental alarm bells that someone is trying to sell us a bill of goods. A lot of the paradoxes that provoke paradoxical responses have this quality.