How do i connect my reference monitor?

Usually, for color grading in Davinci Resolve, I have two monitors connected to my Macbook Air M1. One - UI (Samsung), connected via DP, the second - reference (BenQ), I connect via "Blackmagic Ultra-studio Monitor 3G" and HDMI output. 

Questions:
Does Capture One support additional display devices?
How do I connect my 3Dlut-calibrated work display?