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Using the ideas from the BPS/CFT correspondence, we give an explicitrecursive formula for computing supersymmetric Wilson loop averages in 3d$\mathcal{N}=2$ Yang-Mills-Chern-Simons $U(N)$ theory on the squashed sphere$S^3_b$ with one adjoint chiral and two antichiral fundamental multiplets, forspecific values of Chern-Simons level $\kappa_2$ and Fayet-Illiopoulosparameter $\kappa_1$. For these values of $\kappa_1$ and $\kappa_2$ the northand south pole turn out to be completely independent, and therefore Wilson loopaverages factorize into answers for the two constituent $D^2 \times S^1$theories. In particular, our formula provides results for the theory on theround sphere when the squashing is removed.

Exact SUSY Wilson loops on $S^3$ from $q$-Virasoro constraints