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The main goal right now is to eliminate dithering on your graphics cards and ensure that your monitor works well at 8-bit color depth. If you find that working becomes comfortable during any of these tests, your monitor should be fine.
Here are your options:
1. Ubuntu 18: This version likely doesn't support your graphics cards because it's quite old (?). That's why it's recommended for testing. Without support, the driver shouldn't initialize the card or enable dithering. However, there's always a risk that the card might default to dithering. This is the main concern with these step. Start testing with the UHD 770, and if it causes eye strain, switch to the RX 7800 for broader test coverage.
2. Latest Ubuntu: The newest version supports both of your graphics cards, meaning the driver will recognize and initialize them. It's been found that the driver for the UHD 770 doesn't enable dithering at 8-bit or higher, making it potentially safe. However, the situation with the RX 7800 is unclear and depends on the driver. Set the color depth to 8-bit.
3. Windows 10/11: You can use the Microsoft Basic Adapter Driver, which won't enable dithering on the graphics card. You can test here too, but be aware of the same risk mentioned in step 1.
4. Native Driver for UHD 770: Install the native driver instead of the Microsoft Basic Adapter Driver and test again, ensuring that the color depth is set to 8-bit. Use the Ditherig app to disable a dithering on the UHD 770, if eye strain is present. https://kawamoto.no-ip.org/henteko/myapp_en.html
5. Native Driver for RX 7800: Install the native driver instead of the Microsoft Basic Adapter Driver and test again. Use ColorControl to disable dithering on the card. Ensure that the color depth is set to 8-bit.