The Hoppe's will probably work fine. But so will the same standard milspec CLP you use on your other weapons.

About all that needs lube is the bolt rails and maybe a drop on the extractor and tip of the trigger where it contacts the hammer (sear). Trigger group really needs none and repeated disassembly will enlarge the holes in the lower receiver. A drop or two there if you insist.

Avoid grease or anything thicker than CLP, especially on the bolt rails. Grease adds friction and slows moving parts.

-- Chuck