Akkadian

buˀû - to look for, to search for (CAD B 360, AHw. 145)

Mostly in Babylonian and, remarkably, never in Old Assyrian, where šeˀāˀum is normally used instead (Kogan 2006c:195). CAD B 365 is right to point out that the meaning “to wish” for buˀˀû, widely attested in some peripheral varieties of Akkadian, is likely due to WS influence.

PS
*bγy - to look for; to search; to examine (Kogan 2015:393; DRS 75‒76)