The second brick-Brauer-Thrall conjecture

Let $A$ be a finite-dimensional algebra over a field $k$. Write $\operatorname{brick}(A,d)$ for the set of isomorphism classes of bricks of dimension $d$, and call $A$ brick-finite if it has only finitely many bricks up to isomorphism. Second brick-Brauer-Thrall conjecture. The algebra $A$ is brick-finite if and only if $\operatorname{brick}(A,d)$ is a finite set for every $d\in\mathbb{Z}_{>0}$. This conjecture connects brick-finiteness with the bounded-dimension behavior of bricks; it was settled for special biserial algebras and other families, but the source records it as having been resolved in that setting.