Brother GT-341 Instruction Manual page 56

4. Printing Directly from Applications
Illustrator CS2/CS3/CS4/CS5: Make sure the following settings.
Document Profile and Printer Profile are either "sRGB IEC61966-2.1" or "Untagged RGB".
Color Handling: Let Illustrator determine Colors
Rendering Intent: Relative Colorimetric
Click "Setup" to do Printer Driver Settings.
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Illustrator CS2/CS3/CS4/CS5
GT-3 Series