We explore the finite-bias DC differential conductance of a correlated quantum dot under the influence of an AC field, from the low-temperature Kondo to the finite-temperature Coulomb blockade regime. Real-time simulations are performed using a time-dependent generalization of the steady-state density functional theory (i-DFT) [Nano Lett. 15, 8020 (2015)]. The numerical simplicity of i-DFT allows for unprecedented long time evolutions. Accurate values of average current and density are obtained by integrating over several periods of the AC field. We find that (i) the zero-temperature Kondo plateau is suppressed, (ii) the photon-assisted conductance peaks are shifted due to correlations, and (iii) the Coulomb blockade is lifted with a concom...