Single-scale connected 3PCF for the triangle configurations selected in Fig. 1 (upper plots of each panel), as indicated in the top label. We show the results at z = 0, with a different color for each neutrino mass, as indicated in the legend. The inset plots in the upper row show the multipoles ζ_ℓ(s₁₂, s₁₃) from which the 3PCF was reconstructed. The lower plots show the corresponding detectabilities as a function of s₂₃ (Eq. 10). The dashed blue line marks the zero detectability level. The orange shaded areas show the region 90 h⁻¹ Mpc ≤ s₂₃ ≤ 110 h⁻¹ Mpc, corresponding to the expected location of the BAO peak. Where the BAO scales do not cover the full s₂₃ range, we include a zoom-in on the detectability in that region to better visualize the effect of neutrinos in those ranges.