Rank-two realization conjecture for finite Weyl groupoids

Let $d\in\mathbb{N}$ and let ${\bf q}\in\mathbb{C}^{\{1,2\}^d}$ be a $d$-dimensional tensor defining a Weyl groupoid through the generalized Rosso condition. Rank-two realization conjecture. Every finite Weyl groupoid of rank two is obtained as the Weyl groupoid of some such ${\bf q}$ for some $d\in\mathbb{N}$. The paper provides examples of finite rank-two Weyl groupoids produced by higher tensors, including examples absent from the classical theory of Nichols algebras of diagonal type, but does not prove the asserted universal realization.