Automorphic gluing for nodal degenerations

Let $G$ be a complex reductive group and let $X$ be a smooth complex projective curve. Let $\mathcal Shv_{\mathcal N}(Bun_G(X))$ be the Betti category of nilpotent sheaves. Automorphic gluing for nodal degenerations. The category $\mathcal Shv_{\mathcal N}(Bun_G(X))$ admits a gluing description under degeneration of $X$ to a nodal curve. This is proposed as the automorphic counterpart of spectral gluing and is motivated by the asymptotic degeneration of the loop group.