Existence of smooth ancient Kähler–Ricci flows desingularizing orbifold shrinking solitons

Let $(M^4,g,f)$ be a Kähler Ricci shrinking soliton orbifold singular at $p_o$, with singularity group in $U(2)$. Desingularization conjecture. There exists a smooth ancient Kähler–Ricci flow whose tangent soliton at $-\infty$ is $(M^4,g,f)$. This conjecture proposes that orbifold singularities of four-dimensional Kähler Ricci shrinking solitons can arise as backward tangent solitons of smooth ancient flows, complementing the study of orbifold singularities as models for finite-time Ricci-flow singularities. The supplied context discusses stability of such orbifold singularities but gives no resolution of this existence claim.