Weak cluster structure conjecture for infinite type $fD$ cluster categories

Let $n\in\mathbb{N}_{>0}$, and let $\mathcal{C}(\mathbb{D}_{n,\infty})$ be an infinite type $\mathbb{D}$ cluster category whose clusters are weakly cluster tilting. A full subcategory is weakly cluster tilting if it is one of the weakly cluster tilting subcategories considered in this cluster category. Weak cluster structure conjecture. The weakly cluster tilting subcategories of each cluster category $\mathcal{C}(\mathbb{D}_{n,\infty})$ form a weak cluster structure. This is stated because the computations showing that mutation is given by left- and right-approximations are omitted; the conjecture concerns the categorification of the combinatorial cluster structure for these infinite type $\mathbb{D}$ categories.