(left) $p_{\rm T}$-differential inclusive J/$\psi$ production cross section in MB and TRD-triggered p--Pb collisions at $\sqrt{s_{\rm NN}} = 8.16$ TeV in comparison with the measurements at $\sqrt{s_{\rm NN}} = 5.02$ TeV. The statistical and systematic uncertainties are shown as error bars and boxes. Also depicted is the pp reference spectrum at $\sqrt{s} = 8.16$ TeV obtained via the procedure described in Sec.4 and multiplied by the mass number of the Pb nucleus ($A = 208$). The grey band represents the combined correlated and uncorrelated uncertainties. (right) $R_{\rm pPb}$ of inclusive J/$\psi$ in MB and TRD-triggered p$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV and 8.16 TeV. The statistical and systematic uncertainties are shown as error bars and boxes. For the 8.16 TeV measurement, the uncorrelated uncertainties of the pp reference are shown as a band around unity. The normalisation uncertainties are shown as coloured boxes around unity at zero $p_{\rm T}$.