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Explanation "Resurgence" is the correct word in this context. It refers to the re-emergence or revival of something, especially a movement or group. The U.S. is working to prevent the return or strengthening of the Islamic State extremist group, making "resurgence" the most appropriate choice. "Survival" would suggest that the group is being kept alive, but the focus here is on preventing its return or comeback. "Defeat" would imply the end of the group, but the sentence indicates efforts to prevent its resurgence, not its final defeat.
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