The problem though... is the 'via' that is used to take that wire from one side of the board to the other... appears to be underneath the IC...
I think you should get your hands on a spare USB cable... cut one end off, and solder the matching wire to the 'via' that goes through the board... it's a very small connection...
You may need to get your hands on a small 32 gauge solid core wire.. which might make it easier.
The goal here should be 'data recovery' ...
If you can solder a tiny wire directly to the via, then you can solder a cut-up USB cable to the other 3 pads to get your data off the the USB device.
If you can't get that via soldered... or are worries about trying...
Solder the 3 good contacts to the wires from a cut-up USB cable (Still with the USB end on it!)
Solder the remaining wire to a pin, then with your hand, hold the pin on that via where it goes underneath the board...
You can then plug in the USB cable to a laptop, or if long enough, to a desktop to copy the data off...
Once the data is safe, you can explore methods of making a more permanent repair.
You could also (with a multi-meter) try to determine which pin on the Microcontroller goes to that broken pad.
The interest here is still that little dimple in the board... the 'via' .
Measure resistance from the via on one side to each pin on the other... best of luck.