Nonfinite basis conjecture for the three-dimensional cross-product Lie algebra

Let $K$ be an infinite field of characteristic $2$, and let $K^3$ be the three-dimensional simple Lie algebra equipped with the cross product. Nonfinite basis conjecture. The polynomial identities of $K^3$ do not follow from a finite number of identities. The conjecture extends the nonfinite-basis phenomenon known in the supplied text for $gl_2(K)$ to this three-dimensional cross-product Lie algebra; no resolution is given.