Once your mouse powers on again, you should confirm that it indeed works. Use Bluetooth to pair it to your computer. Confirm that the computer's cursor tracks the mouse. Make sure it registers mouse clicks

Reassemble the mouse. First I removed all of the glue residue stuck to the aluminum bottom shell of the mouse, and on the black plastic lower half of the mouse.

You could use glue, but I had good success using double sided sticky transparent tape. Be sure to cut it in half lengthwise, so that it covers the part of the black plastic that contacts the aluminum shell.

When you place the aluminum shell back on, be sure the line up the tiny hole with the green Power LED on the black plastic bottom half of the mouse.

After the aluminum shell is in place, you can slide the black plastic mouse glides in place, prior to replacing the battery door on the bottom of the mouse.