What does Connection Rejected for Apple mouse mean in Bluetooth?

I have also logged a bug on this, but it could be a defective device. I have two Apple mice. One uses two AA batteries and is 80 percent charged. The other is a Magic Mouse and has a built-in rechargeable battery. I normally use the second one, but when it's charge drops below 30 percent, I turn it off and recharge it. I want to use the other one while it is recharging, but it isn't pairing. First, I removed and re-inserted the batteries. Then I went to Bluetooth. It showed both mice with "Connection Rejected." I turned Bluetooth off and on. My Logitech Ergo keyboard connected right away, but the Mouse does not connect. The Magic Mouse connects quickly and with no problem. Right now, neither Mouse shows in Bluetooth and the Mouse app says "No Mouse Found." My guess is that Bluetooth is failing in this Mouse. I guess I'll need to buy another one to use while charging the Magic Mouse.