Even though SN 2012cg is one of the best-studied Type Ia Supernovae to date, the nature of its progenitor system has been debated in numerous studies. Specifically, it is difficult to reconcile the claims of the detection of a $∼ 6 \rm{M}_⊙$ main-sequence companion by Marion et al. 2016 with the deep, late-time H$\alpha{}$ flux limits from \citet{maguire16}. In this study we add three new constraints: 1) We analyze a high-signal-to-noise, nebular-phase, LBT/MODS spectrum of SN 2012cg and place an upper limit on the amount of low-velocity, solar-abundance material removed from a possible companion of $