Fractional values of the total mass gained (left) and fraction of time spent (right) by the BH in the ‘sEdd’ (filled orange) and ‘sEddThm’ (hashed violet) runs in f_Edd bins, mirroring the three accretion/feedback regimes. Despite not spending much time in the super-Eddington regime, this mode (f_Edd > 1) still contributes significantly to increasing the mass of the BH, and dominates the mass growth in the ‘sEddThm’ case.