I bought a Logitech Cordless Click! Plus mouse in early January, and about 2 weeks later, it broke. I didn't get around to calling their support until yesterday, but I should be getting a replacement soon. But, they didn't ask me to send the broken one back to them. Since I'm pretty sure that it's just the receiver and not the actual mouse that's broken, will I be able to somehow put both mice to use at the same time once I get my new one?