Properties of the CO-gravity-induced gap, and the outflow feedback neglecting the gap effects of the m _BH = 10M _⊙ case. The left panel shows a comparison between the gap density and the unperturbed AGN disk gas density ρ _CO/ρ _d; the pink line and left region represent R _d,gap ≥ r _cav; the purple line and left region represent t _gap,g < t _ref, as a contrast, and t _gap,v > t _ref always holds within the panel’s parameter space. The right panel shows a comparison between the BH accretion timescale and the cavity evolution timescale for the gap unopened case, i.e., ρ _CO = ρ _d.