The center conjecture for the affine partition algebra

Let $k$ be a positive integer, let $\mathcal{A}_{2k}^{\text{aff}}$ be the affine partition algebra, and let $z_l$ and $p_n$ denote the central elements introduced in the paper for $l,n\in\mathbb{Z}_{\geq 0}$. The center is denoted by $Z(\mathcal{A}_{2k}^{\text{aff}})$. Center conjecture.

$$Z(\mathcal{A}_{2k}^{\text{aff}})=\langle z_l,p_n\mid l,n\in\mathbb{Z}_{\geq 0}\rangle.$$

This conjecture proposes that the displayed elements generate the whole center of the affine partition algebra, extending the description of the center of the finite partition algebra and paralleling results for other affine diagram algebras. Its resolution is not specified in the source.