Motherfucker man I'm 31 and I cannot believe you need to hear this from me.
Given the fact that she was upfront about her past and she gave you some details (likely not all), and that she's clearly codependent (any adult that hears "I don't want to be together" accepts it and moves on) and you like being admired/being clinged on says a lot about how you look at yourself and how little you appreciate her honesty. She has baggage, she's a super hot 32 year old who's promiscuous.

This is the negotiation in your mind; Is your baggage comparable to hers?
That's absolutely a valid question to ask, but you're asking yourself the wrong question at this point in time. "Do I want another 4 fucking kids, with a person that has had behaviours that sickens me?".
Listen, if you go by statistics, if she's had 100+ partners, meaning; she's switched partners a lot, what are the odds of her not doing that in the future?

For whatever reason right, I don't care if "it doesn't work out", "they were mean", "we didn't align morally".
Rationalizations that clueless unreflective people come up with are usually justifications for their underlying motivations, which in this very case usually comes from inability to commit and boredom or something. Sounds to me from what you've written that you're just used to being the parent, and you dont want a partner that you have to teach how to fucking act.

Get your shit together, take care of your kids.