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Fig. 9.

Fig. 9. Refer to the following caption and surrounding text.

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Offset from the FMR, plotted against look-back time and redshift, down to z ∼ 2. The weighted mean of z > 9 direct-metallicity sample is shown by the purple box, with height and width spanning 1σ error, and individual galaxies are plotted in pink. We compare to redshift bins of the PRIMAL z = 3 − 10 sample, shown as circular grey markers, with error bars representing the error on the bin medians. Other binned or stacked high-z (z > 2) literature data, from Sanders et al. (2021), Troncoso et al. (2014), Curti et al. (2024), Scholte et al. (2025), Roberts-Borsani et al. (2024), and Sarkar et al. (2025), are shown in different shades of blue. There is a clear trend indicating that the offset from the FMR increases with redshift, with a systematic break somewhere between 2.5 < z < 3.0.

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