Stefanich's conjecture on limits of presentable n-categories

Let $n\mathsf{Pr}$ be the $1$-category of presentable $n$-categories, defined as the filtered colimit

$$n\mathsf{Pr}=\varinjlim_{\kappa}n\mathsf{Pr}^{\kappa}$$

where $n\mathsf{Pr}^{\kappa}$ is the category of $\kappa$-compactly generated $n$-categories, for regular cardinals $\kappa$. Stefanich's conjecture. The $1$-category $n\mathsf{Pr}$ has small limits for every $n\geq0$. This problem was widely open and was posed by Stefanich as Conjecture 5.5.1; the supplied text gives no resolution.