Karaś's multidegree conjecture for tame automorphisms

Let $k$ be a field of characteristic $0$, and let $3\leq p_1\leq d_2\leq d_3$ be integers with $p_1$ a prime number. Write $\mathrm{mdeg} F$ for the multidegree of a polynomial map and let $\mathrm{Tame}\,k^3$ denote the tame polynomial automorphisms of $k^3$. Karaś's conjecture. The triple $(p_1,d_2,d_3)$ belongs to the multidegrees of tame automorphisms if and only if $p_1\mid d_2$ or $d_3\in p_1\mathbb{N}+d_2\mathbb{N}$. This conjecture concerns the characterization of multidegrees of tame automorphisms in dimension three; the source does not state whether it has been resolved.