Cha's real-rootedness conjecture for arbor Ehrhart polynomials

Let $\sigma$ be an arbor, and let $\mathcal Q_\sigma$ be its arbor polytope. Cha's real-rootedness conjecture. All roots of the Ehrhart polynomial of $\mathcal Q_\sigma$ are real and lie in the interval $[-1,0]$ for every arbor $\sigma$. In particular, the $h^*$-polynomial of $\mathcal Q_\sigma$ has only real roots. This is attributed to Cha (2025); the source does not specify a resolution.