First results from the CRESST-III low-mass dark matter program by Abdelhameed, AH, Angloher, G, Bauer, P, Bento, A, Bertoldo, E, Bucci, C, Canonica, L, D’Addabbo, A, Defay, X, Di Lorenzo, S, Erb, A, Feilitzsch, FV, Fichtinger, S, Iachellini, N, Fuss, A, Gorla, P, Hauff, D, Jochum, J, Kinast, A, Kluck, H, Kraus, H, Langenkämper, A, Mancuso, M, Mokina, V, Mondragon, E