"Team Woman"? It doesn't exist.
Many women hate other women. Most women even prefer to work for men, because most men try to be fair. Many women aren't fair and don't even know it.
Jung was right (and he wasn't the first to see it): women's biggest problem is that they think they are always right, and will never be happy until they give up that belief. And when you get that many women always thinking they are right they sure as hell aren't going to get along with each other.
I have worked with literally thousands of women. And I've found the things they say about other women is astonishing. I once as a joke put my fingers in my ears because of what I was hearing. "That cum dumpster, she gives blowjobs in the parking lot!" And this was going on and on and on and didn't stop.
If women got along with each other Camille Paglia wouldn't have said that if civilization was left in the hands of women we'd be living in grass huts. And P.J O'Rourke wouldn't have commented that without men civilization would last until the next oil change.
A woman I know told me she went to an all-girls high school. You know what she said about them? You don't? Does that word "catty" mean anything to you? Now imagine a whole society run by women. Ack! It'd be an envious, catty, backstabbing hell full of tastefully-decorated grass huts.
In fact, by the time I was 12 years old I understood that old joke: "What do you tell a woman with two black eyes?" "Nothing. She's been told twice already."