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A bstract A search is performed for exclusive high-mass γγ → WW and γγ → ZZ production in proton-proton collisions using intact forward protons reconstructed in near-beam detectors, with both weak bosons decaying into boosted and merged jets. The analysis is based on a sample of proton-proton collisions collected by the CMS and TOTEM experiments at $$ \sqrt{s} $$ s = 13 TeV, corresponding to an integrated luminosity of 100 fb − 1 . No excess above the standard model background prediction is observed, and upper limits are set on the pp → pWWp and pp → pZZp cross sections in a fiducial region defined by the diboson invariant mass m (VV) > 1 TeV (with V = W , Z) and proton fractional momentum loss 0 . 04 < ξ < 0 . 20. The results are interpreted as new limits on dimension-6 and dimension-8 anomalous quartic gauge couplings.