Personally, I hate brakes…..absolutely not needed on low recoil rifles.
If you’re planning on having a barrel that short…..perhaps consider a “suppressor”. It’s long, a bit bulky, ugly dried cow dung, but……it reduces muzzle blast and reduces recoil a little! memtb
A 308 isn't exactly a low recoil cartridge, one thing on the rifle is, the previous owner added a metal but plate.
Can't own a suppressor up here in Canada, it's prohibited.