Ratio of hadronic gamma rays over hadronic + leptonic gamma rays, $R_{\mathrm{hadronic}}=\frac{F_{\mathrm{had}}(>100\text{GeV})}{F_{\mathrm{had}}(>100\text{GeV})+F_{\mathrm{lep}}(>100\text{GeV}),}$ for various values of the shock radius R_sh and ambient density n₀. In this figure, the bolometric luminosity is fixed at L_bol = 10⁴³ erg/s, and the electron-to-proton ratio is set to K_ep = 10⁻³. The leptonic gamma-ray flux was computed for an inverse Compton scattering with the Naima code (Kafexhiu et al. 2014; Aharonian et al. 2010) assuming that the electron population follows the same energy distribution as the protons, with the normalization K_ep at 1 GeV. The AGN photon field considered is described in Sect. 2, and the maximum energy of electrons was estimated by equating the acceleration timescale to the smaller one between the loss timescale and the UFO age.