Accretion with heating, cooling, turbulence (Ma ~ 0.35), and e_rot = 0.3: 3D mass- (top) and X-ray emission-weighted (∝ ℒ; bottom) radial profiles of density and temperature (cf. Fig. 7). The profiles show the extended multiphase structure, which is largely concealed in the X-ray band. The X-ray temperature profile is remarkably flat, in contrast to the hot-mode accretion, which has a peaked temperature profile. This is a key observable, which can be thoroughly tested (Wong et al. 2014; Russell et al. 2015), to unveil the evolutionary stage in which the galaxy is residing.