Recoil velocity as a function of the escape velocity of the host for the mergers in OBELISK-RECOIL. MBHs that return to R₅₀ are shown in yellow points, wandering MBHs are shown in orange triangles, MBHs that are on their way to escaping are shown in red squares, and MBHs that escape their haloes are shown in purple crosses (see Table 1 for a summary of the definitions). The dotted line is the locus where v_recoil = v_esc. Two outliers caused by spurious measurements have been removed.