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AC losses in a high temperature superconducting (HTS) insert coil for a 25-T cryogen-free superconducting magnet are numerically calculated during its energization, assuming slab approximation. The HTS insert coil consists of 68 single pancakes wound with coated conductors and generating a central magnetic field of 11.5 T, in addition to a contribution of 14.0 T from a set of low temperature superconducting (LTS) outsert coils. Both the HTS and LTS coils are cooled using cryocoolers, and energized simultaneously up to 25.5 T with a constant ramp rate for 60 min. The influences of the magnitudes and orientations of the locally applied magnetic fields, magnetic interactions between turns, and the transport currents flowing in the windings are taken into account in the AC loss calculations. The locally applied fields are separated into axial and radial components, and the individual contributions of these field components to the AC losses are summed simply to obtain the total losses. The contribution of the axial field component to the total AC loss is large at the early stages of the energization, whereas the total losses monotonically increase with time after the contribution of the radial field component becomes sufficiently large., Comment: 18 pages, 10 figures