Wyoming beat some really bad teams at the end of the season to make it to 6-6. 6 wins makes a team Eligible, but they’re not guaranteed a bowl.
Also, the First Responder bowl took the MWC selection away from the Potato Bowl, making Potato an at-large bowl. The MWC was owed a bowl slot, which was given by the First Responder bowl. Once that slot got filled, then Potato was free to choose anyone.