e-positivity conjecture for generalized natural unit interval orders

Let $P(\mathbf{m})$ be the natural unit interval order associated with a sequence $\mathbf{m}=(m_1,m_2,m_3,n,\ldots,n)$, and let $G$ be its incomparability graph. Let $\widetilde{X}_G(t)$ denote the chromatic quasisymmetric function of $G$. Generalized three-parameter e-positivity conjecture. The function $\widetilde{X}_G(t)$ is $e$-positive.

This extends the preceding conjectural family by allowing the first three entries of $\mathbf{m}$ to vary. The source does not specify whether the conjecture has been resolved.