Reconstructed SZ and X-ray models of PSZ2 G313.33+61.13 generated using the recovered parameters from Fig. 6 (top). The difference between the observational data and the reconstructed model map above, in units of pixel-based error (middle). The histogram of the distribution of the relative error in the middle panels (bottom). The X-ray SB histogram takes into account both the residuals in the inner two-dimensional region, which includes 80% of the emissions observed in the data, and the outer map region where we implemented one-dimensional analysis using azimuthal medians (see Fig. 5). In all cases, the residuals are distributed within ±4σ level compared to the error. When the relative errors of the SZ, X-ray SB, and X-ray temperature are modeled with a Gaussian fit, their standard deviations align with 1.5σ, 0.6σ, and 1.1σ respectively. Comparatively, 63.8%, 64.4%, and 100% of the data from SZ, X-ray SB, and X-ray temperature maps respectively exhibit pixel-based signal-to-noise ratios exceeding 1.5.