Quasi-projective soliton limit conjecture for Ricci-vertex blow-ups

Let $\mathcal{X}$ be a metric-flow limit of Type I blow-ups of a Kähler-Ricci flow, with time slices $(\mathcal{X}_t,d_t)$ as in Theorem 2main1. A quasi-projective normal variety is a normal variety admitting an open embedding into a projective variety. Quasi-projective soliton limit conjecture. For every $t\in(-\infty,0]$, $(\mathcal{X}_t,d_t)$ should be a quasi-projective normal variety; moreover, after choosing suitable Ricci vertices, $\mathcal{X}$ should be a complete Kähler-Ricci soliton. The theorem preceding this conjecture identifies the slices as analytic normal varieties with controlled singularities, but quasi-projectivity and the global soliton structure remain conjectural.