Launch the game. It may take a moment longer than usual. Because you deleted the data folder, the game is forced to create a brand new one from scratch in your Documents folder with fresh permissions. You should reach the main menu without seeing the "Data files corrupt" error.
Corrupt DirectX 9 components are a hidden cause of "data files corrupt" because FS13 is a DirectX 9 game running on modern DirectX 12/12 Ultimate systems. Launch the game
Right-click your game shortcut or the Steam launcher and select Run as Administrator . Launch the game