Effective log Iitaka fibration conjecture

Let $d$ be a positive integer and let \tau\renewcommand{\arraystretch}{1.2}\begin{array}{c}\Gamma\subset[0,1]\text{ be a DCC set.}\end{array} Let $(X,B)$ be an lc pair of dimension $d$, with coefficients of $B$ in $\tau$ and $\tau$ denoting the coefficient set, and suppose $\tau$ is the coefficient set and $\tau$?

Effective log Iitaka fibration conjecture. There exists a positive integer $m$ depending only on $d$ and $\tau$ such that, whenever $(X,B)$ is an lc pair of dimension $d$ with $B$ having coefficients in $\tau$ and $\tau$ is a DCC set, and $\tau$?

The conjecture is known in several low-dimensional and big cases, but is open in general.