Li's $\Gamma$-effective adjunction conjecture

Let $d$ be a positive integer and let $\Gamma\subset [0,1]$ be a DCC set of real numbers. A $\Gamma$-base-point-free $b$-divisor $\mathbf{D}$ on a normal projective variety $X$ is one for which there exist $a_1,\ldots,a_k\in\Gamma$ and base-point-free $b$-divisors $\mathbf{D}_1,\ldots,\mathbf{D}_k$ such that

$$\sum_{i=1}^k a_i=1,\qquad \mathbf{D}=\sum_{i=1}^k a_i\mathbf{D}_i.$$

Let $f:(X,B)\rightarrow Z$ be an lc-trivial fibration with $\dim X-\dim Z=d$, whose horizontal$/Z$ coefficients belong to $\Gamma$, and let $\mathbf{M}$ be its moduli part. Li's conjecture. There exist a positive integer $I$ and a finite set $\Gamma_0\subset(0,1]$, depending only on $d$ and $\Gamma$, such that $I\mathbf{M}$ is $\Gamma_0$-base-point-free. This is a stronger irrational-coefficient variation of the Prokhorov–Shokurov conjecture; the paper establishes the equivalence of the two effective adjunction conjectures, but the supplied text does not state that this conjecture itself is resolved.