Non-polyhedral effective cones from the moduli space of curves

We show that the pseudoeffective cone of divisors $\overline{\text{Eff}}^1(\overline{\mathcal{M}}_{g,n})$ for $g\geq 2$ and $n\geq is not polyhedral by showing class fibre morphism forgetting one point forms an extremal ray dual nef curves $\overline{\text{Nef}}_1(\overline{\mathcal{M}}_{g,n})$ at this polyhedral.