Stacked surface brightness profiles as a function of radius (proper kpc). The total emission (black lines, identical to that reported in colors in Fig. 5) is decomposed into the fractional contribution of the blue cloud (BC, blue), green valley (GV, green), and red sequence (RS, red) galaxies. The classification into these categories is detailed in Appendix D. This decomposition carries information about quenched fraction as a function host halo center and halo mass. It may constrain future models of the galaxy-gas-AGN-halo connection as a function of specific star formation rate and in dense environment (e.g., Nishizawa et al. 2018; Aung et al. 2023; Shreeram et al. 2025).