In order for the brass to gain that speed and acceleration, the force on it has to accelerate the entire rifle with it. So your comment that the brass is part of the rifle is accurate.
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To push it to the extreme, the bullet is welded to a super strong casing (probably not brass), it is effectively a self contained bomb inside the rifle. The tension force balances everything out, and the bolt thrust is zero.
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So the bullet doesn't move, and that somehow negates the force to the rear on the brass? How does that work?
<<<Edit. Assuming that this theoretical cartridge can't stretch or fail, this assumption is correct.>>>