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We have measured the differential cross section for the $\ensuremath{\gamma}$$^{3}\mathrm{He}$$\ensuremath{\rightarrow}\ensuremath{\pi}{}^{+}t$ reaction. This reaction was studied using the Continuous Electron Beam Accelerator Facility (CEBAF) Large Acceptance Spectrometer (CLAS) at Jefferson Lab. Real photons produced with the Hall-B bremsstrahlung tagging system in the energy range from 0.50 to 1.55 GeV were incident …