The AMoRE collaboration has been investigating the neutrinoless double beta decay of $^{100}Mo$ using cryogenic calorimeters with scintillating molybdate crystals and metallic magnetic calorimeters (MMCs). The AMoRE-pilot and AMoRE-I phases of the experiment demonstrated the promising potential for this search, and the experiment is rapidly moving toward the AMoRE-II phase, which will ultimately exploit about 90 kg of $^{100}Mo$ isotope. The AMoRE-II detector will consist of hundreds of cryogenic calorimeters and surrounding muon veto detectors, made up of an array of plastic scintillators and a water Cherenkov detector. The materials for the detector system have been carefully chosen, and the radiation shielding structure has been optimized to achieve a background level of $10^{-4}$ counts/kg/keV/year in the region of interest for the signal search. The new experiment will be built in Yemilab, a new underground laboratory 1000 meters below Mountain Yemi in Jeongseon, South Korea. This facility provides the necessary space and infrastructure to support a large-scale experiment with significantly enhanced sensitivity. The ongoing status of the AMoRE-II experiment is discussed in this article.