A description of the current state of the project for the study of coherent elastic neutrino-atom scattering using a tritium source and liquid helium detector is given. The project was proposed in our paper in 2019 and its main goal is to obtain a new record limit on the neutrino magnetic moment at a level below 10 −12 𝜇 𝐵 using a tritium antineutrino source with an intensity of 10 MCi or even 40 MCi.