“…Given Γ, what is (a good bound on) the asymptotic dimension of the coned-off Deligne complex? Note that our main Theorem also allows us to recover from a unified perspective several other known results for these groups, such as the above-mentioned Tits alternative (see [MP21,Corollary B]; this was proved in the extra-large case in [OP19]), the solubility of the conjugacy problem (also proved in [HO19, Corollary 1.3] for any two-dimensional Artin group), and control over their quasi-flats (see [HO17,Theorem 1.1] for the statement about two-dimensional Artin groups, and the closely-related [BHS21, Theorem A] about HHGs). Moreover, we recover the fact that these groups are semi-hyperbolic, as they are coarsely Helly by [HHP20, Thm.…”