[C II] luminosity as a function of SFR, providing the second hint of an AGN scenario in this work. ID9094 is shown with 3σ upper limits on L_[C II] (L_[C II] < 1.7 × 10⁸ L_⊙) in red and blue arrows, representing cases with (fixed T_dust = 60 K) and without (fixed T_dust = 110 K) an AGN component, respectively. We note that results for T_dust = 40 K with an AGN component are not shown here, as they yield similar or even better agreement with the relation (see Sect. 3.2.2). The blue square indicates the expected L_[C II] location of ID9094 if it is a star-forming galaxy without an AGN. Solid gray and black lines, along with their shaded regions, represent the L_[C II]–SFR relations and 1σ uncertainties for low-redshift galaxies (De Looze et al. 2014) and high-redshift ALPINE galaxies (z ∼ 4 − 6; Schaerer et al. 2020), respectively. The dashed orange line shows the relation for low-z composite galaxies and AGNs (De Looze et al. 2014). Previous observations of z > 6 galaxies are plotted as gray points or downward triangles, which represent 3σ upper limits (Harikane et al. 2020; Schouws et al. 2023; Fudamoto et al. 2024).