Let $\varphi\in\PSH(X,\omega)\cap C^{0}(X)$ and $\psi\in\mathcal{E}^{1}(X,\omega)$. Assume that $\nu:=\MA(\psi)$ is supported in the dual complex $\Delta_{\mathcal{X}}$ of some SNC model $\mathcal{X}$, and that $\varphi\leq\psi$ $\nu$-a.e. Then $\varphi\leq\psi$ on $X$.