What scope are you going with? 36 oz atacr or 19 oz Leupold? This will make a huge difference.
I built a .338 Norma on a remington 700, with an EH-1, and a 24" Lilja #5 spiral fluted barrel, and 5 port TI MBM Beast brake. As pictured with the 25 oz March in a DNZ mount, it was 9.4 lbs. I had an ATACR in a spuhr mount on a rail for a bit, and it was 10.4 lbs.
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Here is another .338 Norma we put together, Manners EH-1A, Stiller TAC338 action, and 28" Carbon six barrel. That is their magnum contour, with a larger 1.3" diameter shank to accomodate the larger action threads. Terminator T3 brake, and Stiller CIP DBM, and vortex HST, about 22 oz, in warn mountain tech rings. Set up like that, I believe it is 11.7 lbs without the bipod. It now has a maven rs.4 5-30x56, which is 35+ oz, and I think the gun is about 12.4 lbs. If you built this exact gun, but without the adjustable cheek rest, you would be at or under 12 lbs with something like an ATACR. Hope this helps!
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