Vitushkin's quasiadditivity conjecture for continuous analytic capacity

Let $K_1$ and $K_2$ be compact subsets of the plane, and let $\alpha$ denote continuous analytic capacity. Vitushkin's quasiadditivity conjecture. There exists a constant $C$ such that

$$\alpha(K_1\cup K_2) \le C\left(\alpha(K_1)+\alpha(K_2)\right),$$

for all compact sets $K_1$ and $K_2$. This conjecture arises from Vitushkin's localization method for rational approximation and would give a quasiadditivity principle for continuous analytic capacity. The supplied text does not indicate whether it has been resolved.