Conjectured value of the feedback arc set decomposition number for maximum degree 5 and directed girth 3

Let ${\rm fasd}(\Delta,g)$ denote the supremum, over the relevant weighted orgraphs of maximum degree at most $\Delta$ and directed girth at least $g$, of the normalized feedback arc set decomposition parameter. The conjectured value.

$${\rm fasd}(5,3)=3.$$

The paper identifies this as the remaining case in its determination of ${\rm fasd}(\Delta,3)$ for $\Delta\geq 3$ and notes that proving it would generalize the established results ${\rm fasd}(4,3)=3$ and ${\rm fas}(5,3)=1/3$ for the corresponding feedback arc parameter.