depending on your setup and cpu capabilities, what you can do at the moment is run multiple instances of OBS
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create a shortcut to the obs.exe and append -multi
now to use 2 different profiles/settings you can run one obs.exe also with the -portable option. this way it will use the settings files saved in the obs folder, while the other still uses the ones out of %appdata%
you will have to see how capturing your game two times works, and if it does. and you will probably have to tweak your settings alot to get everything smooth.
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