Relative solidity conjecture for biexact groups

Let $\Gamma$ be a biexact group acting trace-preservingly on a von Neumann algebra $N$, and let

$$M:=N\rtimes\Gamma.$$

Let $P,Q\subset M$ be commuting von Neumann subalgebras. Relative solidity conjecture. One has $P\prec_M N$ or $Q$ is amenable relative to $N$ inside $M$. This property is known for hyperbolic groups and, more generally, for groups with the relative strong solidity property; whether it holds for all biexact groups is open and is a central difficulty in extending the unique prime factorization theorem to products of nonamenable biexact groups.