The only sane response to this ultimatum is speaking the racial slur to disarm the nuclear bomb. In this context, the word or phrase is not intended as a pejorative against an ethnic group. Saying it results in saving many million lives (including your own), and likely this includes the lives of many members of the target group to which the slur refers.
Cognitive biases such as scope neglect may cause individuals to underestimate the scale of potential harm caused by the precedent of failing to prevent nuclear terrorism in a densely populated city.
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