Left: Gamma-ray SED of the cocoons in the inner Galaxy for several cut-off values, with χ_c, 0 = 0.4 g cm⁻² (dashed lines). The blue, green, and grey curves correspond to R₀ = 10 TV, R₀ = 50 TV, and R₀ = 90 TV, respectively. The solid lines represent the total emission from cocoons plus the DGE under the base min set-up (De la Torre Luque et al. 2023). Right: Same as the left panel, but for the outer Galaxy. In both panels, Fermi-LAT and LHAASO data (LHAASO Collaboration 2025) are included for comparison.