The bounded-length brick conjecture for tau-tilting infinite algebras

Let $\Lambda$ be a finite-dimensional algebra, and let $\operatorname{mod} \Lambda$ denote its category of finite-dimensional right $\Lambda$-modules. A module is a brick if its endomorphism algebra is a division algebra, and its length is its composition length. Bounded-length brick conjecture. If $\Lambda$ is $\tau$-tilting infinite, then there exists a positive integer $d$ such that $\operatorname{mod} \Lambda$ contains infinitely many pairwise non-isomorphic bricks of length $d$. This conjecture seeks a uniform finite-length witness to $\tau$-tilting infiniteness; its status is not resolved by the supplied source context.