Total group mass, M_grp, as a function of the mass of the first-ranked galaxy, m₁, at z_ini = 3. The horizontal dashed line marks the median total mass of all groups, while the vertical dashed line indicates the median mass of the first-ranked galaxies. The absence of any obvious clustering or segregation in the data within the quadrants delineated by these dividing lines suggests no significant bias in the initial conditions. Group classes are coded as follows: single-BGG systems (blue stars), double-BGG systems (orange diamonds), and non-BGG systems (green circles).