a quick run of a cotton mop with some fine polish should cure the chamber, sticking case issue if you are hesitant to ream it out. I use white rubbing compound, flitz, or the old standby Colgate white (only)toothpaste, without any of the fancy shit in it. i have not had any issues with wolff laquer or polymer case ammo in any AT that i have polished the chamber in.
the same polishing method i also use in .22lr chambers due to the different ammo selection i have. YMMV