Far Cry Primal works with wired XB1 controller, but not Bluetooth

So, I just bought and installed Far Cry Primal from UPlay. I fired it up for the first time with my Xbox One controller paired via Bluetooth. Game doesn't accept input from it. So I started a new game anyway, unpaired the controller and re-paired it, then Alt-tabbed back into the game. I get a message saying the controller isn't recognized, but it shows up in the game's controller menu. If I unpair and plug it in via MicroUSB then it just works.

What gives here? Any fix? I would assume my game is already up to date.

Thanks!

Edit: My controller is a 100% original Microsoft XB1. I know there are companies that sell controllers that are certified to work, but still aren't the real deal. I also bought the battery pack. A microUSB cable wasnt included, i use a red fiber braided 6 feet Anker PowerLine cable, extremely tough and durable. I don't own the console.

@blackroseMD1: I'm not sure what model I have, it may be the S, maybe not. Is the S the newest model? The one I bought was just a controller and a battery pack (sold separately), and some non-rechargeable lithium ion batteries. The cable wasnt included either. I almost thought I would need to get the separate Bluetooth dongle, but apparently that is only needed for older models.

I have an idea, maybe there is an XB1 controller emulator out there. Like X360ce. Maybe it's possible to use something like that to trick the game into believing that a Bluetooth XB1 controller is really a wired 360 controller. I havent tried it yet but I'll test tonight or tomorrow. Although really, this is something that Ubisoft should be addressing.