You don't mention how many shots you are putting into a string.
The MN has a funny quirk that will surface on some rifles. As the barrel heats up, bullets will drift in the direction of rotation.
I have a MN sniper that isn't a repro and really looks like its BTDT. The first two shots from a cold barrel go directly to POA. Then on the third shot, the bullet strike is 1 cm to the right. The fourth shot is almost 3cm to the right and the fifth round is very close to the fourth but still a bit further right.
Nothing seems to be awry, just a quirk of this particular rifle. I have taken the barreled receiver out of the original stock and put it into another stock that the rifle in it shoots very well. Still does the same thing. I have soot blackened the receiver and barrel in the original stock to see if there are any rub marks. Nothing. Just the nature of that particular beast.
I have a mod 70 win in 338-06 that does exactly the same thing. At 300 meters it will actually drift right about 6 inches after the 2nd shot.
smellie gives good advice but in a collectable rifle, not a particularly desirable cure. I have the receiver of the M70 fully glass bedded and it doesn't make the least bit of difference. I even tried to put a bit more torque on the barrel.