Enomoto's semibrick finiteness conjecture for finite-dimensional algebras

Let $\Lambda$ be a finite-dimensional algebra. A semibrick in $\operatorname{mod} \Lambda$ is a set of bricks whose distinct members have no nonzero morphisms between them. Enomoto's conjecture. If every semibrick in $\operatorname{mod} \Lambda$ is a finite set, then $\operatorname{mod} \Lambda$ is brick-finite, that is, $\Lambda$ is $\tau$-tilting finite.

This conjecture asks whether finiteness of every semibrick forces finiteness of the set of bricks. Enomoto established several equivalent characterizations of brick-finite algebras, while the stated implication remains the conjectural direction.