I can't find any product called "selleys stain remover #1" even on their website, so I don't know what that is, but if it's a chemical stripper, I wouldn't use it on this project.
Two reasons:
It's caustic as hell and could potentially (and probably) melt the plastic binding.
It's water clean-up, and water & unsealed veneer is just asking for trouble. (the stripper could possibly affect the veneer adhesive as well)
"Goof Off" has a high concentration of acetone (higher than standard nail polish remover). It's made for dissolving adhesives and has a very high flash point so it doesn't soak into the timber and you use it as a "spot" cleaner not applied as a whole surface cleaner, IYKWIM.
If you're going take on removal of that spot, you will likely need to remove as much of the pink stain as possible from the whole top to avoid having an obvious blotch where the glue spot is/was.
My advice is don't use sandpaper. It's too easy to sand through that .6 mm veneer.
Use synthetic sanding pads to rub back the pink stain they're less aggressive than sandpaper. Even if you only get to about 80% removal, you should be ok with re-applying the stain without much unevenness in the finished colour.
Also - great story about Pippio! You get extra Karma points for that!