Approaching a girl at the gym. Good idea?

So lately I've been showing up earlier to the gym and I've noticed there's a really attractive blond that always works out by herself around 1am. Do ladies mind being approached when they're working out? I know when I'm working out I'm pretty focused and I'm not really looking to talk to people.

Also, I've only seen her twice but both times her long blond hair looks like its just been loosely curled before she shows up. I take that as a sign she's trying to look good for other people to approach her?

If only I'd run into her at the grocery store when I'm not tired and out of breath. I don't feel like I'd be a good conversationalist with sweat dripping my face.
Approaching a girl at the gym. Good idea?
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