So, /adv I've been hanging out quite a lot with this taken

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So, /adv I've been hanging out quite a lot with this taken girl, a coworker which I very much like and have feelings for her. We have been together to a music festival, many times on the beach and even went out in the evening and got drunk but nothing ever happened. She often tells me that she likes me and that she finds me beautiful and for the last month we've almost exclusively talked about relationships, kids and what it would be like if we were together. From time to time, she randomly mentions her boyfriend and quite objectively points out his good and bad sides.

I am certain, she is not using me as I have never done anything for her that I wouldn't do for any of my other friends. I can go even further and say that she is making favours to me that seem out of the blue but I see tham as a friendly gesture.

Now, I really think that we have some chemistry going on and even coworkers have recently started to ask me if we're dating. I don't want to lose her as a friend but if it happens, it won't be the end of the world. I think it's good to point out, that I'm in my late twenties, introvert and feel inexperienced when it comes to relationships. My questions here are:

1) Should i tell her how I feel or should I ask her directly how she feels about me?
2) If yes to point 1) how should I do that to not be an asshole?

Any other tip or advice is much appreciated.