https://big12sports.com/news/2019/5/23/211718886.aspx
I don't see reference to that in the Big 12 explanation (it's possible I'm missing it). Has this situation come up before for the Big 12?
Additional Big 12 Teams in the CFP
If a Big 12 team(s) is rated in the top four of the CFP, it will play in one of the semifinals. This does not affect the Big 12 designee being placed in a CFP New Year's Bowl if it is not one of the top four teams. There is not a limit on the number of teams from one conference that can be placed in CFP bowls. Additional Big 12 teams may be selected for other CFP New Year's bowls based on their ranking in the final CFP Poll.