Need advice on gym crush

Hi, I am a frequent gym goer. So there is this girl at my gym been seeing her for a a little over a year. A few weeks ago, I finally worked up the courage to introduce myself to her and have a couple conversations with her. They were positive she was receptive and when I saw her a few times waved and smiled and she did as well. Never asked her to coffee or anything like that seriously regretting that.

It’s been a couple weeks since I saw her last in which we talked a bit about her and I’m not sure what to even do if I see her next. I know I’m overthinking everything. Now I want to ask her for coffee cause I just think she is perfectly beautiful, not even sure if I missed my chance. If I see her next how do I vet her interest, could she could be seeing someone.

To be real I have in my life never approached a women before at all, finally in my current age of early 30s worked up to it. Encouragement or just advice would help.

Thanks.