Combined observation spectrum of WISE 1738 from instruments HST/WFC3, Gemini/GNIRS, and MIRI/JWST (scaled to a distance of 9.9 pc). Top : WFC3 (J and H bands, red), GNIRS (Y, J, H and K bands, black), and MIRI (black) observations x_obs, overlaid with the simulated noiseless spectrum f(θ) associated with the most probable parameters from the posterior. Bottom : residuals of the sample normalized by the inflated standard deviation of the noise distribution for each spectral channel.