Rethlas and Archon counterexample to Anderson’s quasi-completeness question

Understanding the problem

Why it matters

If correct, answers a named specialist question in commutative algebra by an explicit existence construction.

What counts as progress

Is every weakly quasi-complete Noetherian local ring quasi-complete? Asked by D. D. Anderson in 2014. The ring $A = k^p[[X, Y]][k]$ with $k = \mathbb{F}_p(u_1, u_2, \dots)$ is weakly quasi-complete but not quasi-complete.