Existence of the augmentation polynomial for all knots

Let $K$ be a knot in $S^3$. Its augmentation variety is the locus in $(\mathbb{C}^*)^2$ of pairs $(\lambda_0,\mu_0)$ for which the framed knot DGA of $K$, specialized at $(\lambda_0,\mu_0)$, has an augmentation. When this variety is not $2$-dimensional, the augmentation polynomial $\tilde{A}_K(\lambda,\mu)$ is defined as the polynomial whose zero set is the union of its $1$-dimensional components, with no repeated factors and not divisible by $\lambda$ or $\mu$. Existence conjecture. The augmentation polynomial is defined for all knots in $S^3$. The claim concerns whether every knot has an augmentation variety for which the stated polynomial construction applies; the source gives no resolution.