  We show the global-in-time well-posedness of the complex Ginzburg-Landau
(CGL) equation with a space-time white noise on the 3-dimensional torus. Our
method is based on [14], where Mourrat and Weber showed the global
well-posedness for the dynamical $\Phi_3^4$ model. We prove a priori $L^{2p}$
estimate for the paracontrolled solution as in the deterministic case [5].
