The number of maximal green sequences can never be obtained if the quiver isn't of finite type

[iajoiner]

In the tame case we should be able to use Brustle-Dupont-Perotin and Hermes-Igusa to solve the problem (no gap/fixed gap theorems).

In the wild case we should simply use Brustle-Dupont-Perotin and use an empirical upper bound of the length of MGSes by assuming the fixed gaps conjecture.