The one-dimensional definable strongly minimal non-locally modular field interpretation claim

Let $\mathbb K$ and $\mathcal K$ be the ambient field and structure, and let $N$ be a $\mathbb K$-definable set of dimension one. Let $\mathcal N=(N,\ldots)$ be a strongly minimal, non-locally modular structure over $N$ that is definable in $\mathcal K$. One-dimensional field interpretation conjecture. Then $\mathcal N$ interprets a field. The source presents this as a strategy or outline for proving the general definable one-dimensional case; no resolution is supplied in the provided text.