ACC conjecture for generalized pairs

Let $d\in\mathbb{Z}_{>0}$ and let $I\subset[0,+\infty)$ be a subset satisfying the DCC. Define

$$A_{\mathrm{gen}}(d,I):=\left\{\operatorname{mld}_x(X,\Delta+M)\ \middle|\ (X,\Delta+M)/Z\text{ is a generalized pair},\ \dim X=d,\ \Delta\in I,\ M\in I,\ x\in |X|_{\rm cl}\right\},$$

where $M\in I$ has the meaning specified in the source's definition of generalized pairs. ACC conjecture for generalized pairs. The set $A_{\mathrm{gen}}(d,I)$ satisfies the ACC. This extends the minimal-log-discrepancy ACC question from log pairs to generalized pairs; the paper establishes partial results but does not resolve it in full generality.