Elite 2 USB C cable melted

Don't use the Wireless adapter for Firmware Updates and you should be all good.

Should be USB-A -> USB-C or USB-C -> USB-C.

My Elite 2 came with a cord.

Can I use a usb2.0 type-c to usb-A cable to connect my elite 2 controller to the console?

Of course! Without any issue, will work either on Xbox and PC.

That's because pc gamer forgot a certain detail

Xbox one gen 2 and older controllers use micro USB

Gen 3 which are series s/x controllers with backwards compatibility uses usb type c

You are mixing the old gen with current gen controllers

The reason why is because of the speed of the charging and following universal standards as per the current regulations in most countries over charging

My controller is the elite series 2 controller, so I cannot remove the battery.

As I mentioned in my original post, the controller will not connect to my PC or Xbox with the correct USB C cable, and it will not charge or connect with the multiple cables I tried to use.

Is there a way I can send this in to get repaired?

You should be able to do it following these steps:

Connect your controller using a micro-USB cable (included with all standard Xbox One wireless controllers and the Xbox One Play & Charge Kit). Standard alkaline batteries won’t be used to power the controller functions while you’re using your controller
as a wired controller.

If you’re using an Xbox Elite Wireless Controller Series 2 or Xbox Adaptive Controller, connect your controller using a USB-C cable (included with both controllers).

Depending on the type of controller you have, plug the micro-USB or USB-C cable into the power port on the back of the controller then plug the other end of the cable into your Xbox One.

Hope this helps