The touching valley version of the Delta conjecture

Let $n,k,r\in\mathbb{N}$ with $k<n$, and let $\mathsf{LD}(n)^{\bullet k}$ be the partially labelled Dyck paths with $k$ decorated valleys. For $P$ in this set, let $\mathsf{touch}(P)$ be its number of touching points, and let $\mathsf{dinv}(P)$, $\mathsf{area}(P)$, and $x^P$ be its diagonal-inversion statistic, area, and monomial weight. Touching Delta conjecture, valley version.

$$\Theta_{e_k} \nabla E_{n-k,r} = \sum_{\substack{P\in \mathsf{LD}(n)^{\bullet k} \\ \mathsf{touch}(P)=r}}q^{\mathsf{dinv}(P)}t^{\mathsf{area}(P)}x^{P}.$$

The source says this refinement was first stated by Iraci and Vanden Wyngaerd. The paper uses it as the hypothesis from which the touching generalised conjecture is proved, so this conjecture is open in the supplied source.