Thanks!
Troy-Bilt identifies the hex bolt as 3/8-24, so I "assumed" (always a mistake!) the diameter is 3/8" with 24 threads to the inch. The head of the bolt is a pretty good fit with a 5/8" socket. A 15mm socket is too small and a 17mm is too big, so I'm guessing it's likely a 16mm socket that's needed (which I don't own presently).