Whew, the pressure on a 223 is up there pretty high for you to have any wobble. I had a frame years back that allowed any barrel to lock up tight but had a little wobble when opened. I didn't keep it long enough for the ink to dry on the transfer papers. The extra length of a 23" barrel will make any play exaggerated but if it's .004 as you said, this is too much. I have used a dollar bill(.004) to check the lock-up of double shotguns and if the bill would slide out when the barrels were closed, it didn't come home with me. My advice is to not even fire it and send it back. I am getting the impression that T/C is subcontracting it's work out since their fire. There is no reason why someone who records an employee number with their poor quality work, would remain employeed to repeat their irresponsibility.