Minimum prestellar evolution mass (M₀) required for GCs to survive over Hubble time (τ ≥ 13.8 Gyr), shown as a function of $R_{\text{g}}^{\text{3D}}$ Results are presented for Z = 0.0006 (blue) and 0.017 (red) in host galaxies with circular velocities of V_c = 220 (solid lines) and 440 km s⁻¹ (dashed lines). Each curve represents the survival mass threshold; GCs with M₀ above the corresponding curve (shaded region) remain bound over Hubble time.