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