Posterior distributions of S​₈ and nuisance parameters from our fiducial analyses, as generated by POLYCHORD (solid black lines) and MULTINEST (dashed grey lines). The contours represent the 68% and 95% credible intervals and are smoothed using a Gaussian KDE with a bandwidth scaled by a factor of 1.5. We note that the Gaussian priors we have set, as outlined in Table 2, strongly influence the redshift offset parameters. The dotted lines represent the central values of these Gaussian priors.