Mean X-ray surface brightness profiles in the stellar mass bins: M_★ = 10^10.5−11 M_⊙, corresponding to MW-like galaxies (left), M_★ = 10^11−11.25 M_⊙ (centre), and M_★ = 10^11.25−11.5 M_⊙ (right). The vertical dashed line is the mean R_500c at 242.75 kpc (left), 369.01 kpc (centre), and 484.52 kpc (right) of the respective galaxy stellar mass bin with the shaded area corresponding to the minimum and maximum values. The black line is the analytical model, shown in Eq. (7), fit to the LC-TNG300 mean X-ray surface brightness profiles. The best-fitting parameters for the model are given in Table 3. We find decreasing values for the slope, β, with increasing stellar mass bins.