Conjecture that strongly 2-dependent groups are stable

A group $G$ is strongly $2$-dependent when its complete theory $\operatorname{Th}(G,\cdot)$ is strongly $2$-dependent.

Stability conjecture for strongly $2$-dependent groups. Every strongly $2$-dependent group is stable; equivalently, if $G$ is a group such that

$$\operatorname{Th}(G,\cdot)$$

is strongly $2$-dependent, then $G$ is stable.

The source presents this as the concluding conjecture of the section. No resolution or partial result for this group-theoretic claim is given in the supplied text.