The LE will work just fine with this bad cap, Just a Little difficult to set address.
My experience with different desoldering tools.
#1 Spring loaded solder suckers. Just seams to remove a bit more solder.
#2 Soldering iron with the red ball sucker, This is the easyest to use, but it gets too hot so be carefull with it.
#3 Red ball sucker, Plugs up easily
#4 Solder wick, works best but takes a lot of practice. This is what I use most of the time.
What ever you use, practice on an old circuit board first, Something out of an old clock radio, or cassette player , is a good starting point. Computer equipment is quite a bit more difficult.
PRACTICE! PRACTICE! PRACTICE! take a break. PRACTICE some more.
You built it, you can fix it.
Good luck