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The OP describes a scenario that uses an extreme situation to try and pose an ethical dilemma for us, to dismantle our sense of right vs. wrong. But it's a trick question. Anything taken to extremes often falls outside of the normal, functional paradigm, leading to a breakdown in the model. So what. Same goes with science, like as with the quantum mechanics. No one can say for sure what they would do in such a scenario, or whether any of the 3 options actually represent a chance of success. It's a lose-lose situation.
So given the absurdity of the situation, rather than try to answer with one of the no-win scenarios I tend to ask more general questions -
You win today's "Kobayashi Maru test..." not. That or the spoilsport prize.
You choose.