_{\phi\in\mathscr{G}^{\mathrm{ GRC}}}         \phi(|C_x|=\infty)     \end{aligned}$$ and $$\begin{aligned}         \widetilde{P}_\infty(\beta,\pmb{J},\pmb{\hat{h}})         \equiv         \sup_{x\in\mathbb{V} }\,         \