Algebraic ODP volume gap conjecture

Let $(V,p)$ be a non-smooth germ of an $n$-dimensional klt singularity. For a valuation $\nu$ centered at $p$, let $\widehat{\operatorname{vol}}(\nu)$ denote its normalized volume. The ordinary double point (ODP) singularity is

$$\sum_{i=1}^{n+1}x_i^2=0.$$

Algebraic ODP volume gap conjecture. The infimum of the normalized volumes of valuations centered at $p$ satisfies

$$\inf_{\nu}\widehat{\operatorname{vol}}(\nu)\leq 2(n-1)^n,$$

with equality realized only by the ordinary double point singularity. This is the algebro-geometric analogue of the proposed volume-density gap for Ricci-flat Kähler cones; the source does not specify whether it has been resolved.