The ACC conjecture for lc thresholds of adjoint foliated structures

Let $(X,\mathcal{F},B,t)$ be an adjoint foliated structure, with $B=B^{\operatorname{ninv}}+B^{\operatorname{inv}}$, and let $D$ be an $\mathbb{R}$-divisor. The ACC conjecture for lc thresholds of adjoint foliated structures. For every positive integer $d$, real number $t\in[0,1]$, and DCC set $\Gamma\subset[0,+\infty)$, there is an ACC set $\Gamma'$ such that, whenever $\dim X=d$, $B,t,D\in\Gamma$, one has

$$\sup\{s\in[0,1]\mid (X,\mathcal{F},B+s(D^{\operatorname{ninv}}+(1-t)D^{\operatorname{inv}}),t)\text{ is lc}\}\in\Gamma'.$$

The paper lists this among three widely open ACC conjectures, including in dimension two.