Your last sentence nailed it. We need to know what they are trying to solder. Wire to wire.. Maybe wire nuts or a bomb splice. Wire to pad or lead, that changes everything.

What are you actually soldering? A wire splice? Or a wire to a pad? Wasn't clear from your op.

Seriously just replace it. It's so easy to do. Get a kit like this (check measurements) and forget about it! It comes with everything you need to do replace it. Watch a YouTube video and you're golden.

https://www.homedepot.com/p/Phifer-36-in-x-84-in-Black-Pet-Screen-Kit-with-Spline-and-Roller-3025886/205001783