The minimal-volume conjecture for the acylindrical taut sutured manifold $(N_3,\gamma)$

Let $(N_3,\gamma)$ be the acylindrical taut sutured manifold obtained by cutting the 3-chain link complement along a 3-punctured sphere. Its volume is $5.33\ldots$. Minimal-volume conjecture. The sutured manifold $(N_3,\gamma)$ is a minimal-volume acylindrical taut sutured manifold up to orientation. This conjecture concerns the sutured-manifold analogue of the minimal-volume problem for hyperbolic 3-manifolds with three cusps; the source presents it as open.