Minkowski indecomposability of type B shard polytopes

Let a $B$-arc be an arc in the type $B$ model, and let $\shardPolytope[\beta]$ denote its shard polytope. Minkowski indecomposability conjecture. For any $B$-arc $\beta$, the shard polytope $\shardPolytope[\beta]$ is Minkowski indecomposable. This is the type $B$ analogue of the established indecomposability result for type $A$ shard polytopes; the source reports computer verification through $n=4$, while the general case remains open.