Unexpected Romance at the Library

I'm a grad student who's been in an open relationship for over a year now. Last week, I was studying at our campus library and had an unexpected meet-cute with someone browsing books nearby. We hit it off instantly, exchanging numbers right there on the spot. Since then, we've connected through long phone calls and texts, building a sweet little fling on the side. It's been exhilarating exploring this new connection while still being open about my current relationship dynamics. Any advice from others who have managed similar situations without causing drama?