And it is working for real (really recommend to buy usb bluetooth reciever and signal retranslator as a separate devices. Aswell as making batteryslot for your mouse)
You can actually do it, take your old radio USB transmitters from old mouse and solder USB data input cables to your mouse USB cables (check out it's placement to make sure youre connecting the right ones), take some battery slots from old toys or tv remotes and 2 aaa batteries, soldier them to the remaining power cables and connect the USB reciever. I never did it before, but that might be an interesting experiment to make, and should technically work. Read actual tutorials and be careful with soldering, since everything I wrote here is my thoughts on how to make it (as a non experienced guy)