Wanted to add to this - Gaga actually wrote with country songwriter Hillary Lindsey for songs like A-Yo and Million Reasons, so if there's a country influence that you might hear in those, it most definitely comes from her. From what I know of the collaboration, it wasn't Gaga forcing herself into country or being fake with her sound, but a genuine collab with a songwriter that happened to bring a new sound. I believe Gaga requested to write with her though, so she definitely sought after a new sound for herself.