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Fig. E.1.

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

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Power-law fit of the excitation diagrams, performed using the H2Powerlaw tool from Togi & Smith (2016) on the fluxes extracted from the averaged cubes, over the full FoV of CH1, inside (ND), and outside (ICND) a circle centered around the AGN of radius 2×FWHM. The legends report the results of the fit: n is the slope of the power-law, while Tl is the lower temperature limit of the fit Tlow. The S(3) line in the ND is corrected for extinction via the method presented by Reefe et al. (2025) (see App. F). The deviation of the S(7) from the fit in the ND is due to the difficult de-blending of the [MgVII] line at 5.51 μm.

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