Left panel: cosmological parameters from the N(z) Planck likelihood when correcting the completeness for the effects of cluster dust emission (Fig. 7). Shifts in cosmological parameters (black curves) are negligible with respect to the case when dust is not taken into account (right panel). Right panel: cosmological parameters from the N(z) Planck likelihood without any dust correction to the completeness. This figure was obtained with the same likelihood as the original analysis (Fig. 7 of Planck Collaboration XXIV 2016), but the convergence of the chains is higher.