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We present a measurement of $p\overline{p}\ensuremath{\rightarrow}Z\ensuremath{\gamma}\ensuremath{\rightarrow}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}\ensuremath{\gamma}$ ($\ensuremath{\ell}=e$, $\ensuremath{\mu}$) production with a data sample corresponding to an integrated luminosity of $6.2\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected by the D0 detector at the Fermilab Tevatron $p\overline{p}$ Collider. The results of the electron and muon channels are combined, and we measure the total production cross …