Sormani's minA-IF stability conjecture for Riemannian 3-tori

Let $\{(M_i,g_i)\}_{i=1}^\infty$ be a sequence of Riemannian $3$-tori. Assume that $\operatorname{diam}(M_i,g_i)$ is uniformly bounded above, while $\operatorname{vol}(M_i,g_i)$ and $\operatorname{minA}(M_i,g_i)$ are uniformly bounded away from $0$. Here, $\operatorname{minA}(M_i,g_i)$ is the infimum of the areas of closed embedded minimal surfaces in $M_i$. Sormani's minA-IF stability conjecture. If $R_{g_i}\geqslant-1/i$, then $(M_i,g_i)$ has a subsequence converging to a flat torus in the volume-preserving intrinsic flat sense as $i\to\infty$. This conjecture seeks an almost-rigidity statement for the Geroch conjecture that excludes thin tunnels and other-world constructions through a uniform lower bound on the minA invariant. The source does not state whether the conjecture has been resolved.