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Fig. D.1.

Fig. D.1. Refer to the following caption and surrounding text.

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Variation in the mean and standard deviation of the TRGB magnitude as a function of the GLOESS smoothing parameter. The vertical grey lines indicate the range over which the absolute magnitude of the TRGB is insensitive to the smoothing value, according to A24 for their ‘SARGs’ sample. The orange shaded region was determined for the GC sample using the criterion | d M R P 0 d σ s | 0.10 Mathematical equation: $ \left| \frac{d M_{RP_{0}}}{d \sigma_s} \right| \le 0.10 $ and covers the range σs ∈ [0.08, 0.18] mag.

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