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Fig. 8.

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Ratios between σtot (Eq. 6) and σint (Eq. 7) as a function of input magnitude. The measured shape noise σtot includes corrections for both multiplicative and additive biases, while the intrinsic shape noise σint is corrected for detection bias (see text for details). For the Euclid-like survey, the ratios remain consistent between the grid-based and randomly placed galaxy configurations. In contrast, the increasing discrepancy between the LSST-like setups highlights the growing impact of blending at fainter magnitudes.

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