The Coherent Captain Mills (CCM) experiment, located at Los Alamos National Laboratory (LANL) in New Mexico, USA, plays a key role in advancing our understanding of neutrino interactions with liquid argon (LAr), as well as conducting searches for dark matter and physics beyond the Standard Model (BSM). The next generation of large-scale detectors employing LAr demands a detailed understanding of the neutrino interaction cross-sections with this element. In particular, the first measurement of the charged current scattering of electron neutrinos with argon at low energies has yet to be made. This absence of data represents a challenge for future experiments, such as those that aim to detect supernovae neutrinos via this interaction, like DUNE. A detailed understanding of background signals, such as cosmic muon-induced Michel electrons, is crucial for identifying and analyzing these interactions. Additionally, significant efforts have been made to estimate the Michel electron background in CCM through cosmic muon rate analysis, event selection strategies, and correlations with photomultiplier tube signals. This work also includes integrating the event generator MARLEY into the CCM Analysis framework to simulate electron neutrino CC interactions, improving the identification of low-energy neutrino events.