Bicompact torsion classes and conjectures on brick infinite algebras

In the category $\operatorname{\mathsf{mod}} A$ of finitely generated modules over a finite dimensional algebra $A$, a torsion class $\mathcal{T} \subset \operatorname{\mathsf{mod}} A$ is said to be compact if there exists a module $M \in \operatorname{\mathsf{mod}} A$ such that $\mathcal{T}$ is the