First test the c and d pins on the chip with a multimeter in resistance mode(or some other continuity test) to see if you still have a solder bridge. I'm not sure what you mean by conduit(I included a picture)... but if you are talking about the track that goes from the c pin to the c point test those two points with a multimeter to make sure there is still a connection between the two. If you are talking about the via hole(the c point) test the continuity once again this time between the c pin and a point on the other side of the board where the via goes to. If the track or via are damaged you might be able to use an additional wire to repair the install.
About over heating your chip by using desolder braid.. be careful. I've done a perfect looking installs on a v7 with a magic 3 but I somehow had overheated the dvd/cd controller chip. This was with a 30watt solder iron. I then decided to get a 15watt solder gun with static protection. I used this to install a dms3 v2.0 chip on a v8 board. This time though I kept bridging bios points. I used desolder braid and cleaned it up perfectly and the chip works perfectly too. It takes like a second for the desolder braid to pick up the solder.
PS2 v7 NTSC SCPH-39001, DMS3 v2.0