Constraints on H₀ and Ω_m from our models in a flat $\mathrm{\Lambda }\mathrm{CDM}$ cosmology, using the ideal kinematic data and different assumptions for M_BH. The green contour represents the constraints from the joint modeling, considering the possible values of M_BH, and combining all 55 models weighted by BIC. The orange contour shows the constraints from the joint modeling, excluding the BH mass. The blue contour shows the constraints from the joint modeling with M_BH = 7 × 10⁹ M_⊙. The BH mass in the simulated kinematics data is set to M_BH = 5 × 10⁹ M_⊙.