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We study nuclear modification of the photon-tagged jets in $AA$ collisionswithin the jet quenching scheme based on the light-cone path integral approachto the induced gluon emission. The calculations are performed for runningcoupling. Collisional energy loss is treated as a perturbation to the radiativemechanism. We obtain a reasonable agreement with the recent data from the STARCollaboration on the mid-rapidity nuclear modification factor $I_{AA}$ forAu+Au collisions at $\sqrt{s}=200$ GeV for parametrization of running$\alpha_s$ consistent with that necessary for description of the data onsuppression of the high-$p_T$ spectra.

Medium-modification of photon-tagged jets in $AA$ collisions