Todorčević's consistency conjecture for regular spaces of countable spread

Let $X$) be a regular topological space with no uncountable discrete subspace. A space has countable spread when it contains no uncountable discrete subspace. The principle $\mathsf{OGA}(X)$ denotes the open graph axiom for $X$.

Todorčević's conjecture. It is relatively consistent with $\mathsf{ZFC}$ that if $X$ is a regular space with no uncountable discrete subspace, then $\mathsf{OGA}(X)$ holds.

This conjecture asks whether the topological hypotheses under which generalized open graph principles are known can be weakened to the essentially optimal assumption of regularity and countable spread. The source presents it as an open problem and attributes it to Todorčević.