preach

From Middle English prechen, from Old French prëechier/precchier, from Latin praedicō, meaning "to proclaim, announce" — literally "to fore-assign, pre-dedicate."

The facts given don't trace a shift in meaning, only the path of borrowing from Latin through Old French into Middle English.

It's a doublet of predicate, meaning the two words descend from the same Latin root, praedicō, but arrived in English by different routes.