Erratum to: Higher-group structure in lattice Abelian gauge theory under instanton-sum modification Naoto Kan, Okuto Morikawa, Yuta Nagoya and Hiroki Wada Eur. Phys. J. C, 84 1 (2024) 22 Published online: 09 January 2024 DOI: 10.1140/epjc/s10052-024-12386-5