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So, if the game is 32-bit, you just capture the entire screen, and everything works?
A conditional full-screen mode can be achieved in the same OBS, when you take the window resolution that is a multiple of your screen resolution and stretch the image.
For example, I have 1366:768
The ratio will be 1.778645833
Thus, a window, say, 1067:600 can already be stretched to the entire screen.