Width conjecture for wheel graphs

Let $W_n$ be the wheel graph, the cone over an $(n-1)$-gon, and let $w^1_{{\mathcal A}_3}(W_n)$ denote the width of the torsion in $H^{1,*}_{{\mathcal A}_3}(W_n)$. Width conjecture for wheels.

$$w^1_{{\mathcal A}_3}(W_n)=\left[\frac{n-3}{2}\right].$$

The formula is inferred from the computational table in the paper; its status is not resolved there.