Top: density stratification adopted for the circumnuclear medium surrounding supermassive black holes with masses M_BH = 10⁶ and 10⁷ M_⊙, based on the models of F. De Colle et al. (2012b). The complex radial structure motivates the use of numerical simulations to follow the blast-wave evolution. Bottom: jet kinetic luminosity histories adopted in this work. The solid curves correspond to luminosities inferred from simulations of the disruption of a 1 M_⊙ star by black holes with masses 10⁶ and 10⁷ M_⊙, while the dashed curves represent idealized models with constant luminosity for t < t_b (t_b = 10, 40, and 120 days), followed by the canonical fallback decay L_j ∝ t^−5/3. All models are normalized to the same isotropic-equivalent energy, E_iso = 4 × 10⁵³ erg, allowing the effects of the energy injection history to be isolated.