Crepant categorical resolution conjecture for the Coble cubic

Let $C$ be the singular Coble cubic, let $W$ be the associated smooth variety, let $q^*W$ be its indicated $\mathbb{P}^1$-bundle, and let $\Gamma$ be the associated genus-$2$ curve. Coble-cubic categorical-resolution conjecture. There should exist functors $\Psi_i:\operatorname{D}^b(\Gamma)\to\operatorname{D}^b(q^*W)$ for $i=1,2,3$ and exceptional objects $E_j$ for $j=1,\ldots,6$ such that

$$\widetilde{\mathsf{C}}=\langle\Psi_1\operatorname{D}^b(\Gamma),E_1,E_2,\Psi_2\operatorname{D}^b(\Gamma),E_3,E_4,\Psi_3\operatorname{D}^b(\Gamma),E_5,E_6\rangle$$

is a crepant categorical resolution of singularities of $C$. This proposal is motivated by the expected decomposition of $q^*W$ into two copies of the derived category of $C$ and two copies of the category of its singular locus; the source provides no proof.