TS distribution for the PLxEBL (blue) and LPxEBL (purple) models, incorporating the finke2022 EBL model, is analyzed in relation to datasets defined by the flux distribution above 1 TeV. Each dataset encompasses observations with flux surpassing a specified percentile. The lower panel presents the distribution of $\sqrt{\mathit{TS}}$ denoted by black crosses, while the solid line illustrates the dataset’s livetime distribution.