Performance testing of our method in recovering parallax (top panel) and Stokes parameters (bottom panel) of both layers in two-cloud sample tests. The color scheme is defined for different sets of f_bg2 and is similar to f_bg in Fig. 4. The horizontal dashed lines correspond to a perfect match between the estimated and true values. The open black circles indicate cases where an additional, spurious layer beyond the second layer is identified, while the first layer is missed. Additional details about the figure are provided in the text in Sect. 3.2.