Unless you are paying six figures tax/year, I don't see how it could be even remotely worth it to give up your citizenship, even in the case where it was a viable option (i.e. you had dual citizenship) - pretty damn handy having dual citizenship if they are complementary to one another.
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I wouldn't leave U.S citizenhip unless i get a EU passport. Or a British one , which is mejor because you can work in Australia without a permission.
Almost certain that this is only the case with a NZ passport.