Median Lyα SB and velocity dispersion of the stacked radial profiles. Left: Lyα SB corrected by cosmological dimming as a function of projected comoving distance for the stacked nondetections in gray dots and bins A2 and A3 with orange and blue triangles, respectively. The simulated Lyα profile obtained from the illumination of a 10^12.45 M_⊙ halo by only the UVB (Obreja et al. 2024) is shown with a dashed red line. The profile around LBGs (Steidel et al. 2011) is shown with a magenta line. Right: Velocity dispersion as a function of projected comoving distances of bins A2 and A3 with orange and blue triangles, respectively, and their shaded region representing the 25^th to 75^th percentiles. Additionally, we show with a dashed black line and a dot-dashed red line the intrinsic Lyα velocity dispersion (σ_int) from de Beer et al. (2023) using cosmological simulations of halos at z = 3.017 with M_halo = 10¹² and 10^12.6 M_⊙, respectively, after rescaling to match the velocity dispersion at 17 kpc of bin A2 (see Section 4.3). The median bolometric luminosity and Eddington ratio for the sources in bins A2 and A3 are indicated in the legend.