If $\varphi$ is a bounded $\omega$-psh function then for each $\varepsilon>0$ there exists an open subset $G\subseteq X$ with $\Capa_{\omega}(G)<\varepsilon$ and a decreasing sequence $(\varphi_{m})_{m=1}^{\infty}$ of $\omega$-psh model functions that converges uniformly to $\varphi$ on $G^{c}$. In particular, $\varphi$ is continuous on $G^{c}$.