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The measurements of the Higgs boson (H) production cross sections performed by the CMS Collaboration in the four-lepton (4l, l = e, mu) final state at a center-of-mass energy root s = 13.6 TeV are presented. These measurements are based on data collected with the CMS detector at the CERN LHC in 2022, corresponding to an integrated luminosity of 34.7 fb(-1). Cross sections are measured in a fiducial region closely matching the experimental acceptance, both inclusively and differentially, as a function of the transverse momentum and the absolute value of the rapidity of the four-lepton system. The H -> ZZ -> 4l inclusive fiducial cross section is measured to be 2.89(-0.49)(+0.53) (stat)(-0.21)(+0.29) (syst) fb, in agreement with the standard model expectation of 3.09(-0.24)(+0.27)fb.