Representability of the eight-color algebra

Determine whether the color algebra $\mathfrak{E}_9(\{2,3\})$ is representable.

Background

Finite-field methods have produced representations for color algebras with many numbers of colors, but the eight-color algebra $\mathfrak{E}_9(\{2,3\})$ remains exceptional. The paper explains that no finite-field representation is known and that existing nonexistence results only rule out finite-field representations within a particular range, without establishing non-representability.

The problem asks whether the algebra nevertheless has a representation by some other construction or over some other base structure.