The characteristic timescales linked to the mass growth and the migration of CO embedded in the AGN disk, e.g., an m _BH = 10M _⊙ BH. The lines of s = 0.2, 0.5, and 0.8 represent t _grow for the cases of varying outflow strength, respectively. The orange and purple lines represent the migration timescale t _mig, of which the AGN disk structure is specifically expressed as Equation (1), and the mass growth timescale t _nowind leaving out the outflow formation, respectively. Basically, t _nowind ≪ t _mig < t _grow is valid.