Need advice on this girl from gym?

I am a shy person and can't look at women for more than seconds, This girl and I kind of coincidentally showing up in same classes because of my new schedule.

I try to be nice to people to deal with my anxiety and will help her with replacing things as she is short.

She got some playful friends in the gym. So I was pushing myself hard and people started yelling her name and it kind of happened multiple times.

She kind of flirts around with the handsome instructor, but i think he is married to someone, people tease her about that too.

I find her really cute, What else can i do to gather more info as i can't look at her or notice her before it is too late.

I am scared to ask her out and how to know if she got a boyfriend

Need advice on this girl from gym?
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