The chip must be replaced, that's out of the question and not really the topic, long story short, it's a software problem, not a hardware issue. The chip should be soldered correctly just like any other chip in the board, no shorts, not corrosion, nothing weird.Start back at square 1. How did you determine that this chip was bad? Did you use a heat imager (TIC) to see a short on this chip? At I stated before, it is possible that a solid short may have welded this IC to the board and NO amount of heat will release it. You can try using a soldering iron (Weller gun type) with the tip directly on the chip. This will apply heat only to the chip. If this also fails, this board can be marked as unrepairable.
-Dan
I might try tomorrow again with the below gun at 200ºC, or finally what you said, my biggest top and a blob of solder right on top. I didn't know I could do that TBH, I might practice first on other boards to remove chips SMD like that (I know they must be small enough so the top covers most of the area).