Time evolution of r_circ in a set of simulations conducted in a low DM resolution set-up of our low-mass dwarf galaxy (see Table 1). Top: The efficiency factor β_ff (see Eq. A.1) is introduced and varied between 0.1 and 0.001 for a MBH of M_BH = 10⁴ M_⊙ and r_acc = 1 pc. The shaded dark grey area corresponds to the observational scaling relation of Morgan et al. (2010), while the shaded light grey area represents the theoretical range for a 10¹⁻³ M_⊙ thin disc (Eq. 9 in Koudmani et al. 2024). Middle: For a MBH of M_BH = 10⁴ M_⊙, r_acc is varied between 100 and 10 pc, with and without β_ff = 0.1. Bottom: With r_acc = 1 pc, the initial mass M_BH of the MBH is varied between 10³ and 10⁵ M_⊙, with and without β_ff = 0.1.