How to repair accidentally removed solder pad?
Put the button back in, solder the one pin to the existing pad.
From the other pin, solder a short wire to the free pad of part Z13 there to the left of the destroyed hole.
If you manage to kill that pad, then follow the trace across the board.  Somewhere over to the right, it will go into a hole (called a &quot;via.&quot;)  Scrape the green paint off of the via, and solder a wire to the via and the pin of the button.
If you kill the via, flip the board over and find the other side of the via.  Scrape clean, solder a wire, etc.
You can do that as long as you can trace the trace and find something connected to it.  Eventually, you will reach the end of the line and can't go any further.  At that point, the button can't be fixed at all.