McKernan's ACC conjecture for interpolated thresholds of nested foliations

Let $X$ be a normal variety of dimension $d$, and let $\mathcal{F}\subset\mathcal{G}\subset T_X$ be foliations. McKernan's nested-foliation ACC conjecture. For every positive integer $d$, there is an ACC set $\Gamma=\Gamma(d)\subset[0,1]$ such that

$$\sup\{t\in[0,1]\mid(\mathcal{G},\mathcal{F},t)\text{ is lc}\}\in\Gamma.$$

This is presented as a more general version of the interpolated lc-threshold ACC conjecture and remains unresolved in the stated generality.