Mehri

ḥəg - to go on ḥajj (ML 171)

a borrowing from Arabic

PCS
*ḥagg- - festival (Hasselbach– Huehnergard 2007:420; Kogan 2015: 189)
An ultimate relationship to Gez. ḥəgg ‘law, decree, regulation, canon, rite’ is not to be excluded (Kogan 2015: 189)