The upper bound for m-eternal eviction domination

Let $G=(V,E)$ be a graph with $n$ vertices and no isolated vertices, and let $\rho_{\mathrm{m}}^{\infty}(G)$ denote its m-eternal eviction domination number. The m-eternal eviction bound conjecture. Then

$$\rho_{\mathrm{m}}^{\infty}(G)\leq\left\lceil\frac{n}{2}\right\rceil.$$

The source does not provide evidence of a resolution, so the conjecture remains open in this database.