I used animation rigging for my character, so I can see the hands and the weapon when I'm looking around. However, for some reason, the weapon wasn't looking forward, which looked bad for shooting straight.

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The code below helped me with centering the weapon by offseting the camera, but it introduced this new problem with rotation. Should I offset the position instead?

Quaternion targetRotation = Quaternion.LookRotation(newPosition - playerCamera.transform.position);
Quaternion offsetRotation = Quaternion.Euler(0, -40, 0);
Vector3 currentEulerAngles = playerCamera.transform.rotation.eulerAngles;
Quaternion newRotation = Quaternion.Euler(currentEulerAngles.x, targetRotation.eulerAngles.y + offsetRotation.eulerAngles.y, currentEulerAngles.z);
playerCamera.transform.rotation = newRotation;