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The inclusive cross section for top quark pair ( ) production in lead-lead (PbPb) collisions is reported for the first time at a center-of-mass energy per nucleon pair of 5.36 TeV. The analysis uses data corresponding to an integrated luminosity of 1.58 nb − 1 collected by the CMS experiment at the CERN LHC in 2023. The production cross section, μ b, is measured in dilepton final states using a fit to a multivariate discriminator that combines the decay electron and muon kinematic properties with the multiplicity of bottom quark jets. The result is consistent with perturbative quantum chromodynamics calculations at next-to-next-to-leading order (NNLO) accuracy employing several nuclear parton distribution functions. In addition, the Drell–Yan production cross section ( σ DY ) for dilepton masses above 10 GeV and the ratio of to DY cross sections are found to be compatible with the NNLO predictions. The observables , σ DY , and are measured separately for central and semicentral PbPb collisions to investigate for the first time the dependence of top quark production on the collision impact parameter.