A search for new physics in events featuring a single photon and missing transverse momentum is presented, using proton-proton
s
=
13
TeV
collision data corresponding to an integrated luminosity of
101
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−
1
collected by the CMS experiment at the CERN LHC between 2017 and 2018. This analysis, combined with a previous study of
36
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−
1
of 2016 data (totaling
137
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−
1
), reveals no significant deviations from standard model expectations. The results are then used to establish 95% confidence level limits on parameters in theoretical models involving dark matter and large extra dimensions. Compared to the 2016-only analysis, this search achieves up to a 14% improvement in exclusion reach for mediator masses in simplified dark matter models, along with 11% and 10% enhancements in the limits on the effective field theory suppression scale and the fundamental Planck scale, respectively. These results are the most stringent constraints on these parameters to date.