Evolution of the spin parameter a against the mass gained by the BH ΔM_growth in sEdd_0, after the first super-Eddington episode (at t ∼ 206.4 Myr). Top: spin parameter a versus the cumulative BH mass growth ΔM_growth for our fiducial simulation sEdd_0, after the first super-Eddington episode (at t ∼ 206.4 Myr). Different phases of evolution are shown in the coloured panels. Middle and bottom: zoomed-in evolution of a at different times where each colour of the plot frame corresponds to that in the top panel. Mass is either accreted above (dotted yellow) or below (solid purple) the Eddington limit; a tends to increase with more mass gained by the BH and super-Eddington episodes are not able to effectively spin down the BH.