Realizability of prescribed numbers of non-atomic molecules in numerical monoids

Let $N$ be a numerical monoid, and let $\mathcal{M}(N)$ denote its set of molecules and $\mathcal{A}(N)$ its set of atoms.

Realizability conjecture. For every $n \in \mathbb{N}_{\ge 2}$ there exists a numerical monoid $N$ such that

$$|\mathcal{M}(N) \setminus \mathcal{A}(N)| = n.$$

This asks which finite cardinalities can occur for the molecules of a numerical monoid that are not atoms. The statement is presented as a realizability conjecture motivating the paper; no resolution is supplied in the given text.