1903A3 Shooting Left... Way Left.

[Jaxson50]

Have you taken it to a good gunsmith?
I am just running an idea by here, before replacing the barrel I would have the crown of the muzzle checked, it may just need a simple recrowning of the muzzle,
It has all the symptoms of a damaged muzzle crown.

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[browningautorifle]

It has all the symptoms of a damaged muzzle crown.

And that will do it too, for sure.