Let $\theta$ be defined by the line bundle $\mathscr{L}$. If the pair $(\mathscr{X},\mathscr{L})$ satisfies Assumption 7.1, then $({m}^{-1}\log|\mathfrak{a}_{m}|)_{m\in\mathbb{N}_{>0}}$ is a sequence of $\theta$-psh model functions which converges uniformly on $X^{\mathrm{an}}$ to ${P}_{\theta}(0)$.