BBH mergers that take place after the three-body interactions in YSCs, GCs, and NSCs (from top to bottom). All the mergers that take place during the three-body interaction, i.e. < 10⁶ yr, are assumed to merge inside the cluster. The x axis reports the recoil velocity caused by the energy exchange in the three-body encounter. The y axis shows the coalescence time of the binary from the beginning of the simulation. Different outcomes are shown with different markers and colours. In the YSCs case, the horizontal dashed line reports the typical evaporation time of a YSC. The vertical dashed line in all the plots shows the escape velocity of the cluster. Distributions of the recoil velocities are displayed as marginal histograms. The colour legend is the same as the scatter plot.