For open-shell systems, the correct determination of the M-L bond length becomes more difficult, with DFT overestimating it. The obtained spectra are consequently redshifted in comparison to the MP2 results, which align best with the experiment. In the MP2 case, BSE@GW appears to slightly correct the TDDFT spectra by red-shifting the states located too high in energy. Since all of the observed transitions have a dominant MC character, this hints at the fact that BSE@GW offers a slightly better description of MC states within TACN complexes.