Hit the easy button and run 6BR
Easy button for an AI is not a BR based cartridge even if it is at the loading bench. Even 6GT may or may not run in an AI without a modded mag. Easy button would be 6 Creedmoor for feeding and ammo selection.
Or split the difference b/w 6CM and 308 and do a 6.5 CM, feeds great in AI. Ammo should be available in 2-3 years once manufacturers set up in the states that secede from the Union.