Left: evolution of the BH mass for the ‘sEdd_0.05’ (red square), ‘sEdd_0.1’ (green triangles) and ‘sEdd_0.25’ (blue circle) from the moment super-Eddington was allowed (t = 206.4 Myr). For comparison are added ‘sEdd’ (solid orange) and ‘sEddThm’ (densely dash-dotted violet) as well as the Eddington limit Ṁ_Edd (dashed red). Right: fraction of time spent in the super-Eddington regime for the same simulations (same colors). Weaker super-Eddington kinetic feedback affects positively the BH growth and increases the fraction of time spent in the super-Eddington regime.