I was searching through multiple forums for the solution, but I guess every case is unique. I tried two RAGE versions, adding the folder to Windows Defender exceptions, turning Windows Defender off, downloading all visual C++ versions from 2005 to 2015 for x64 and x86 for some reason, launching as administrator, launching the game separately with the RPH, launching RPH with no plugins on autoload.
My GTA V is a pirated v3095 1.68 though, so if there might be some problem with my game, and I did not have enough time today to download another version.