The inclusive WZ production cross section is measured in proton-proton collisions
at a centre-of-mass energy of 13.6 TeV, using data collected during 2022 with the CMS detector,
corresponding to an integrated luminosity of 34.7 fb−1 . The measurement uses multileptonic
fnal states and a simultaneous likelihood ft to the number of events in four diferent lepton
favour categories: eee, eeμ, μμe, and μμμ. The selection is optimized to minimize the number
of background events, and relies on an efcient prompt lepton discrimination strategy. The WZ
production cross section is measured in a phase space defned within a 30 GeV window around
the Z boson mass, as σtotal(pp → WZ) = 55.2±1.2 (stat)±1.2 (syst)±0.8 (lumi)±0.3 (theo) pb.
In addition, the cross section is measured in a fducial phase space closer to the detector level requirements. All the measurements presented in this paper are in agreement with
standard model predictions