Proton-proton interactions resulting in the prodution of a Higgs boson with subsequent decay into two photons are studied in a search for the signature of flavor-changing neutral current interactions of top quarks and Higgs bosons. The analysis is based on data collected at a center-of-mass energy \sqrt{s}=13~\mathrm{TeV} by the CMS detector at the LHC, corresponding to an integrated luminosity of 137~\mathrm{fb}^{-1}. Multivariate machine learning techniques are used to separate signal and standard model background processes. No significant excess above the background prediction is observed, and upper limits on the $\mathrm{t} \to \mathrm{Hq}$ branching fractions are derived through a binned fit to the diphoton invariant mass spectrum. The observed (expected) $95\%$ confidence level upper limits are found to be $1.9 \times 10^{-4}$ ($3.1 \times 10^{-4}$) for $\mathcal B(\mathrm{t} \to \mathrm{Hu})$ and $7.3 \times 10^{-4}$ ($5.1 \times 10^{-4}$) for $\mathcal B(\mathrm{t} \to \mathrm{Hc})$.

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