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The calculation is performed on four ensembles of the 2+1-flavor domain-wall gauge configurations: $24^3 \\times 64$ ($a m_l= 0.005$, $a=0.114\\fm$) and $32^3 \\times 64$ ($a m_l = 0.004, 0.006, 0.008$, $a=0.085\\fm$). For pion masses close to $300\\MeV$ we find \\hbox{$\\Delta_{mix}=0.030(6)\\GeV^4$} at $a=0.114\\fm$ and $\\Delta_{mix}=0.033(12)\\GeV^4$ at $a=0.085\\fm$. 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