Which patch version do you use? 1.21?
Wurst runs war3.exe because 1.26 users reported Frozen Throne.exe being extra slow which was an issue for them.
I know several 1.28 and 1.26 developers and vscode run works totally fine.
So it's a problem on your side and you need to provide some more information...
As a quick fix you can try renaming your "Frozen Throne.exe" to war3.exe
It's 1.26a.
Both before and now I had a wc3 logo popping up, which does happen only with Frozen Throne.exe or Warcraft III.exe - war3.exe starts only ...
wah - I noticed my War3.exe was named with capital 'W', and when i renamed it to "war3.exe" it got working. Perfect.
It seems to be special feature of my repack of wc3.