Unfortunately, the studios that have made the Uma Musume animes have all moved on. Studio Kai have moved on to adapting other IP's like Sentenced to Be A Hero, while CygamesPictures techinically doesn't exist anymore. They were restructed to become a part of CyberAgent and changed their name to Cypic. Cypic's goals are also for the studio to move away from their own original IP's (i.e. Uma Musume, Gran Blue Fantasy, Princess Connect Re: Dive) and focus more on other properties (i.e the Kagurabachi anime adaptation). Because of this, it may be a while before we see any Uma Musume anime sadly.