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A search is described for the production of a pair of bottom-type vectorlike quarks ( $B$VLQs) with mass greater than 1000 GeV. Each $B$VLQ decays into a $b$quark and a Higgs boson, a $b$quark and a $Z$boson, or a $t$quark and a $W$boson. This analysis considers both fully hadronic final states and those containing a charged lepton pair from a $Z$boson decay. The products of the $H\to bb$boson decay and of the hadronic $Z$or $W$boson decays can be resolved as two distinct jets or merged into a single jet, so the final states are classified by the number of reconstructed jets. The analysis uses data corresponding to an integrated luminosity of $138{\mathrm{fb}}^{-1}$collected in proton-proton collisions at $\sqrt{s}=13\mathrm{TeV}$with the CMS detector at the LHC from 2016 to 2018. No excess over the expected background is observed. Lower limits are set on the $B$VLQ mass at the 95% confidence level. These depend on the $B$VLQ branching fractions and are 1570 and 1540 GeV for 100% $B\to bH$and 100% $B\to bZ$, respectively. In most cases, the mass limits obtained exceed previous limits by at least 100 GeV. © 2024 CERN, for the CMS Collaboration2024CERN