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Applying the flavor-SU(3)-symmetric approach proposed in Ref.\\ \\cite{ReyLeLorier:2011ww} to \\babar data, we find the highly promising result $\\gamma = (81^{+4}_{-5} ({\\rm avg.}) \\pm 5 ({\\rm std.\\ dev.}))^\\circ$. This establishes the use of three-body B decays as a viable alternative for the extraction of weak phases. 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