Cumulative distributions of ΔM₃₀ and t_rise. The shaded regions represent the ±3σ confidence intervals estimated via Monte Carlo simulations. Five hundred realisations were generated for each distribution by perturbing the original measurements according to their associated uncertainties, assuming a Gaussian distribution. We computed the cumulative distribution function for each realisation and extracted the median, 0.3th percentile (lower bound), and 99.7th percentile (upper bound) to define the central trend and its corresponding error envelope.