The bipartite Cambrian congruence conjecture for transformed cluster fans

Let $R_u$ and $R_v$ be regions of the Coxeter arrangement, and let the transformed cluster fan be the fan whose maximal cones are under consideration. Write $u\equiv v$ when $u$ and $v$ are equivalent under the bipartite Cambrian congruence. Bipartite Cambrian congruence conjecture. The regions $R_u$ and $R_v$ are contained in the same maximal cone of the transformed cluster fan if and only if

$$u\equiv v.$$

This conjecture identifies the maximal cones of the transformed cluster fan with the classes of the bipartite Cambrian congruence. According to the supplied status evidence, it has been proved in types $A_n$ and $B_n$, so the conjecture is recorded as solved.