Extension of uniqueness of signed $\tau$-exceptional sequences to all finite-dimensional algebras

Let $\Lambda$ be a finite-dimensional algebra, and let Theorem

denote the uniqueness statement for signed $\tau$-exceptional sequences established in the paper under its stated hypotheses. **Uniqueness conjecture.** The statement of Theorem

holds for all finite-dimensional algebras.

The uniqueness property is already known for arbitrary finite-dimensional hereditary algebras, while the conjecture proposes that the assumption of $\tau$-tilting finiteness can be removed for general finite-dimensional algebras.