Time evolution of radiative losses for the fiducial runs CygX1 (top) and CygX3 (bottom), derived at each cell and summed per zone, at time steps t = (500, 2000, 4000, 6000, 10 000, 15 000) s for CygX1 and t = (250, 500, 750, 1500, 3000, 6000) s for CygX3 (two data points per evolutionary phase). In both cases, free-free losses dominate cooling in the inner cocoon and beam, while line cooling dominates the outer cocoon.