Notes. “Fiducial: POLYCHORD” denotes our headline results, which are the same as those presented in Table 3. “Fiducial: MULTINEST” represents the same parameter setup as our fiducial analysis, but employs the MULTINEST sampling code. We used this as the reference to assess test results because all test runs utilise the MULTINEST code for increased speed. When comparing the Fiducial: MULTINEST results with the primary POLYCHORD results, we can conclude that the best-fit values obtained from MULTINEST are unbiased. The relative shift in S​₈, denoted as ΔS​₈, is calculated by comparing the best-fit values from the test runs to the reference Fiducial: MULTINEST run. The ΔS​₈ values are expressed as a fraction of σ, which signifies the standard deviation of estimates from the test run. We calculated ΔS​₈ for different summary statistics separately for consistency. For MAP and PJ-HPD results, we also present the best-fit χ² values. For comparison, the best-fit χ² values from A21 and vdB22 are 82.2 and 63.2, respectively.