Does this girl see me as a friend or is she trying to make me a potential client?

There’s this girl I have befriended in my building and she’s really nice but something feels a little off sometimes - I can’t put my finger on it.
She just moved here in November and she is also a women’s coach and personal trainer so she works with clients frequently. I visited her gym with her because I was interested in maybe joining and wanted to check out the facility — we went through a full workout together and afterwards had some lunch. Over lunch she started critiquing my form and what I should work on more. She then offered a “free” personal training session.
Im super pissed about this. I never sought out her services. I don’t mix business with pleasure. I overlooked this a lot though because she invited me out with other friends at one point. Anyway, she also knows I’m part of this exclusive women’s group and expressed a lot of interest in joining it, so I contacted the girl who runs it and got her added to it. The girl who runs it is really successful in her business and is considered very pretty and “bougey.” Anyway, she (the girl I have befriended) seems really interested in becoming friends with that girl and even reaches out to her on Instagram and hasn’t even gotten a response. Every time we meet she asks how I know her and that she reached out to her. I can’t help but feel like she’s pretending to be my friend to get things from me (getting me as a client, my connections, etc). It kind of hurts my feelings. I have to see her often cuz she lives in my building.
Am I just looking into this too much? What do you think is happening and is it as bad as I think? Any insight is helpful!

Does this girl see me as a friend or is she trying to make me a potential client?
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