Estimated ESD profiles and cross signal of the 13 cluster bins, using the LAD estimator (blue) and a weighted mean (red). The error bars are the square roots of the diagonal values of the respective covariance matrices. The solid lines represent the best fitting halo model obtained by the MCMC fit. The shaded regions show the 68.3% confidence bands, estimated using the 15.9th and 84.1th percentiles of the MCMC realizations. Individual bins are indicated by the range in normalized luminosity, 𝔏 ≡ L₂₀₀ /(10¹⁰h⁻² L_⊙). The lower-right plot shows the ESD profile estimated from the full AMICO cluster catalog, also shown in Fig. 7. The average of the two best fitting halo models from Fig. 7 are shown in each panel as a dotted line for easy comparison.