Left panel: the mass–radius phase space of the primary supermassive host computed via the modified Tolman–Oppenheimer–Volkoff equations. The dashed blue line traces a standard radiation-dominated polytrope. The solid red curve incorporates the random transverse magnetic field formalism, demonstrating that magnetic pressure inflates the photospheric radius by a factor of 1700 at fixed mass. Right panel: the synthetic spectral energy distribution generated by this nested geometry. The inflated 3100 K envelope produces a rising optical continuum. Concurrently, the unshielded cluster stars plunging through the optically thin outer layers emit a blue continuum. The composite spectrum captures qualitative features of the photometry without dust attenuation.