Equilibrium solutions for increasing coronal optical depth, computed using the reference set of parameters. Panel (a): Variation of the disk dissipation fraction α with optical depth, illustrating a reduction in intrinsic disk dissipation as optical depth increases. Panel (b): Fitted photon index as a function of optical depth for different viewing inclinations. Panel (c): Fractional contributions of the disk, corona, and reflection components to the total luminosity (integrated over all energies) at an inclination of 60°.