Subadditivity conjecture for the EHZ capacity

Let $K\subset \mathbb{R}^{2n}$ be a convex body covered by a finite set of convex bodies $\{K_i\}$. Subadditivity conjecture. One has

$$c_{\operatorname{EHZ}}(K)\leq\sum_i c_{\operatorname{EHZ}}(K_i).$$

This is a special case of the subadditivity conjecture for symplectic capacities, related to Bang's problem in convex geometry. The paper states that it solves a special case, while the conjecture in this generality remains open.