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Looks like this is your only option. "Delta P Design SOCOM Muzzle Thread Adapter Kit, which allows you to use any flash suppressor, muzzle brake or even direct-thread suppressors. It replaces the standard cylinder lock with one that has 5/8×24 threads. It uses the factory front sight and installs easily without any special tools."

Yes this is threaded. This has a 40 threads per inch which is proprietary. You will need a thread adapter kit (Delta P Design SOCOM Muzzle Thread Adapter Kit) to be able to use standard suppressors, brakes.

Edward the barrel is threaded

Yes, it is threaded.