GypsumFantastic:
If we can get back to the OP's original question: they should seriously contemplate getting an entirely new Uno. If an important pin has burnt out, there's a high chance something else is damaged. Maybe something is still kinda sorta working but intermittently cuts out or throws some other curveball.
The chance depends on how the pin got burned, many people have replaced a burned pin 328P in socketed Unos.
Still, if the USB chip bought it then it is new board time. Check out the Nano then, it's cheaper and breadboard-friendly.
One reason for the layout of the Uno is being able to replace the AVR when a pin gets burned.
It's certainly worth a try.
The one thing is sold out but just below there's many no sold out.
Even if the OP get another duino, it's possible to use that to bootload new 328P chips and try one in the Uno.
For the OP, a complete guide to programming the bare chip on a breadboard using an Arduino as programmer.