Descendent GW/Pairs correspondence for nonsingular projective 3-folds

Let $X$ be a nonsingular projective $3$-fold, let $0\ne\beta\in H_2(X,\mathbb{Z})$, and let $\gamma_i\in H^*(X,\mathbb{Q})$. Let $d_\beta=\int_\beta c_1(X)$), and let $\overline{\tau_{\alpha_1-1}(\gamma_1)\cdots\tau_{\alpha_\ell-1}(\gamma_\ell)}$ denote the descendent correspondence defined using the matrix $\widetilde{\mathsf K}$, with the prescribed signs for odd cohomology classes.

Descendent GW/Pairs correspondence. Under the variable change $-q=e^{iu}$,

$$(-q)^{-d_\beta/2}\mathsf Z_{\mathsf P}\Big(X;q\ \Big|\tau_{\alpha_1-1}(\gamma_1)\cdots\tau_{\alpha_\ell-1}(\gamma_\ell)\Big)_\beta = (-iu)^{d_\beta}\mathsf Z'_{\mathsf{GW}}\Big(X;u\ \Big|\overline{\tau_{\alpha_1-1}(\gamma_1)\cdots\tau_{\alpha_\ell-1}(\gamma_\ell)}\Big)_\beta.$$

This is the descendent form of the GW/Pairs correspondence for all nonsingular projective $3$-folds. The source gives no evidence of a resolution, so the conjecture is recorded as open.