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Intriguingly, the resistivity perpendicular to the CuO$_2$ planes, $\\rho_c(T)$, shows both metallic ($d\\rho_c/dT > 0$) and semi-conducting ($d\\rho_c/dT<0$) behavior. We shed light on this puzzle by calculating $\\rho_c$ for the two-dimensional Hubbard model within plaquette cellular dynamical mean-field theory and strong-coupling continuous-time quantum Monte Carlo as the impurity solver. 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