Observed time delay spectrum. The shaded regions represent the time delay (τ) probability distributions obtained using the GPCC method (Pozo Nuñez et al. 2023b), with black dots indicating the most likely delay corresponding to the peak of each distribution. The solid line denotes the expected delay from an optically thick, geometrically thin accretion disc irradiated by a lamp post geometry. A summary of the physical parameters used in the model, including the black hole mass (M_BH), luminosity (λL_λ1350), and redshift (z), is provided.