The production of a top quark-antiquark pair in association with a W boson (W) is measured in proton-proton collisions at a center-of-mass energy of 13 TeV. The analyzed data was recorded by the CMS experiment at the CERN LHC and corresponds to an integrated luminosity of 138 fb. Events with two or three leptons (electrons and muons) and additional jets are selected. In events with two leptons, a multiclass neural network is used to distinguish between the signal and background processes. Events with three leptons are categorized based on the number of jets and of jets originating from b quark hadronization, and the lepton charges. The inclusive W production cross section in the full phase space is measured to be 868 40 (stat) 51 (syst) fb. The W and W cross sections are also measured as 553 30 (stat) 30 (syst) and 343 26 (stat) 25 (syst) fb, respectively, and the corresponding ratio of the two cross sections is found to be 1.61 0.15 (stat) (syst). The measured cross sections are larger than but consistent with the standard model predictions within two standard deviations, and represent the most precise measurement of these cross sections to date.

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