Examples of synthetic transmission spectra for a TRAPPIST-1e planet under noisy conditions at |$\text{SNR} = 1$|⁠. Each panel corresponds to a distinct combination of methane (CH|$_4$|⁠) and ozone (O|$_3$|⁠) mixing ratios, illustrating how noise at this level affects the observable spectral features. The top three panels (yellow, red, and blue points) show the noisy flux measurements across the wavelength range for three different CH|$_4$|–O|$_3$| scenarios. The bottom panel compares these scenarios in a single line plot, highlighting the variation in spectral peaks and the extent to which noise can obscure molecular signatures.