Exact Diophantine approximation$\text{\hspace{0.17em}⁣}:$ the simultaneous case in ${\mathbb{R}}^2$

We fill a gap in the study of the Hausdorff dimension of the set of exact approximation order considered by Fregoli [Proc. Amer. Math. Soc. 152 (2024), no. 8, 3177–3182].