I dont think its oxidative addition, oxidative addition increases coordination number by 2 like
[PtCl4]2-+ Cl2 → [PtCl6]2−
and that doesnt seem to be the case here because the coordintion number of Cu is 4 in all steps
F. Himo, T. Lovell, R. Hilgraf, V. V. Rostovtsev, L. Noodleman, K. B. Sharpless, V. V. Fokin, J. Am. Chem. Soc., 2005, 127, 210-216.