What is the most logical next event?

How to flirt at work
Don't get thrown into the friend zone.
Since you'll only be seeing her during the time that her brain is in work-mode, you'll need to work extra hard for her to see you in a new light. Share things about yourself so that she sees you as a real person, rather than just a colleague.
Let her know that you are taking improv classes on wednesday nights or that you go mountain biking on the weekends. Without making it obvious, hint to her that you're single, and therefore available.