Evaluate $\prod_{n=2}^\infty(2-2^{1/n})$

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I tried telescoping the product but coudn't find a way to do so, any leads on how to evaluate this limit will help. $$ \lim_{n\to\infty}(2-2^{1/2})(2-2^{1/3})\cdots(2-2^{1/n}) $$