Mináč–Tân's Massey vanishing conjecture for pro-$p$ absolute Galois groups

Let $G_K$ be a pro-$p$ absolute Galois group over a field $K$. The Massey vanishing property is the property referred to in the source.

Massey vanishing conjecture. $G_K$ satisfies the Massey vanishing property.

This conjecture is the main focus of the paper and was first formulated under the assumption $ζ_p\in K^\times$, before being extended to a more general form; the source gives no resolution status.