Botched Pro Controller Joystick Replacement - Is it salveable?

Hi everyone, I tried to replace the left joystick on my Nintendo Switch Pro Controller. Unfortunately, as the title says, I botched it. I managed to desolder most of the solder points for the joystick, but I still couldn't detach it.

In the process of trying to get any residual solder off the mounting pads, I partially ripped one of them. I think I need to get solder flux to try to get the remaining solder to flow to detach the joystick. However, I want to get the opinion of those more experienced to find out if I passed the point of no return before proceeding. Pictures are below.