Play Epic Games GTA5 on Steam?

I got GTA5 from epic Games and would like to start the game on Steam. When I try to add the game via "Non-Steam Game", I don't see GTA5 as a program. However, the Epic Launcher is shown to me and I can also add it. It is not possible to add the game. The background is that I would like to play GTA5 with my PS4 controller and the whole thing is supported by Steam but Epic doesn't care about something like that. I've already tried DS4Windows and it doesn't work at all.

You can install the Rockstar louncher should then automatically be recognized that you have gta and then you can download it via Rockstar and it will be shown to you as a program on steam and you can add it