Results of the MCMC sampling analysis for the derivation of T_e, n_e, and A_V. The top panel reports the corner plots with 2D and 1D marginalized posterior distributions for the free parameters in our model, namely n_e, T₂, T₃, A_V, and f_cov. The PDF medians, 16th, and 84th percentiles are marked. In the bottom panel, we compare the observed to modeled line ratios. Black points with errorbars represent observed values, whereas blue violin plots show the full posterior distribution for each line ratio as sampled from the MCMC chain.