Notes. The first two columns provide parameter names and types of the sampling parameters. The third column lists the adopted prior with uniform priors denoted by 𝒰 and Gaussian priors denoted by 𝒩. The fourth column indicates whether or not the parameter is duplicated in the split cosmological analysis. The fifth column provides a brief parameter description. The priors on A_IA and β are centred at the mean of the posterior reported by Fortuna et al. (2025) including a correlated prior with correlation coefficient r = −0.59. The prior on M_i is inferred from halo mass measurements as discussed in appendix B in W25. The δ_z priors are centred at the mean of the shift of the redshift distribution and correlated through a covariance matrix estimated following the methodology of Wright et al. (2025a).