Alright, I know at least what CAUSES the game to do this : it's when I start a new game, and then click on EXIT in the game. If I try to relaunch the game after that, it just show me a black screen. I tried to delete the Sav.Dat folder in the Lazy Dog software to see if it would magically rework again with no save, but no luck either. Everything was installed on a fresh download as well. I installed everything on the C: drive and didn't try anything fancy.
It did work on first launch, and as long as I didn't start a game, the menu would show up. But after that, doesn't seem to work anymore.
The new output file is here :
https://drive.google.com/drive/folders/143xlCpF1-xtFDyuUOF8RIwf9RA1aj_CD
PS : sorry for making you wait !