Radial profiles of the time-averaged feedback efficiency ﹩\overline{\eta (r)}﹩. Each panel corresponds to a single BH spin a_* and colors represent different Bondi radii R_B. The scale at the bottom shows the radius in units of r_g, and the scale at the top shows the physical radius in parsecs for M87’s BH mass. For the largest Bondi radius, R_B = 2 × 10⁶ r_g, the kinetic ﹩\overline{{\eta }_{{\rm{kinetic}}}(r)}﹩ (dashed) and thermal ﹩\overline{{\eta }_{{\rm{thermal}}}(r)}﹩ (dotted) components are also overplotted, showing the conversion of kinetic to thermal energy as the jet outflow crosses R_B (vertical lines).