Hello Tyler Norris,
Welcome to Microsoft Q&A forum.
Your screenshot shows that your Bluetooth and controller can discover each other, that is a good thing. Before we proceed further, may I know if the AI suggestion works for you? Also, may I know if the controller can connect if you use a cable instead of Bluetooth?
Additionally, can you please go to device manager when the controller fails to connect, go to View > Show hidden devices and let me know if there are any greyed-out controller in there?
I'm waiting for your reply.