Initial parameter distributions. The left panel shows the mass distributions (m_i), where m₁ and m₂ denote the masses of the inner binary components, and m₃ represents the mass of the tertiary. The middle panel displays the semi-major axis distributions(a_i) for the inner (a₁) and outer (a₂) orbits, respectively. The right panel illustrates the eccentricity distributions(e_i) of the inner (e₁) and outer (e₂) orbits, respectively. (See Sect. 2.2 for more details).