Completeness as a function of apparent magnitude in the F444W band. The blue curve shows the recovery fraction of 5000 injected synthetic galaxies, with shaded regions indicating the 95% confidence interval derived from binomial statistics. Horizontal dashed lines mark the 80% and 50% completeness thresholds. The inset shows the magnitude distribution of the injected sources, sampled from a beta distribution to mimic the shape of the observed luminosity function.