On the Chow ring of Fano varieties on the Fatighenti-Mongardi list

Conjecturally, Fano varieties of K3 type admit a multiplicative Chow-K"unneth decomposition, in the sense of Shen-Vial. We prove this for many of the families of Fano varieties of K3 type constructed by Fatighenti-Mongardi. This has interesting consequences for the Chow ring of these varieties.