  We present the first measurement of the top quark pair production cross
section at the new LHC center-of-mass energy of $\sqrt{s} = 13.6 \,
\mathrm{TeV}$, using $1.20 \, \mathrm{fb}^{-1}$ of data recorded at the CMS
detector. We use a new method combining dilepton and lepton+jets decay
channels, constraining several experimental uncertainties in situ. A cross
section of $887^{+43}_{-41}(\mathrm{stat+syst}) \pm 53 (\mathrm{lumi}) \,
\mathrm{pb}$ is measured, in agreement with the standard model. This result
constitutes a first validation of the new data taken by CMS in LHC Run 3.
