Overdensity around high-redshift radio galaxies, quasars, and hot DOGs as a function of redshift adapted from 2023Zewdie. We added the three hot DOGs overdensities (δ′ filled star and δ open star) that were found using the optimised selection criteria. The red horizontal line indicates a null overdensity. (*We note that, in the literature, overdensity is defined as $\delta =\frac{{\mathrm{N}}_{\mathrm{found}}}{{\mathrm{N}}_{\mathrm{expected}}}-1$, which we adjusted to align with the definition used in the present study.)