Dw bro, chick seems like a feminist. Don’t take it to heart.

Bro... Well, David’s right. Know who you’re dealing with. I’m sorry to say, this was not flirting what so ever. You two were having a debate, lol.
Bro, I think you lost this battle right round the “...little rat?” comment. You could have been like “oh, so we’re talking dirty now...dirty little (fill in the blank)”
You failed the frame test pretty badly and repeatedly.

Bro, it seems like she's really not into you. I don't even think it has much to do with this conversation I just think she's not attracted to you in real life and she's a bit more blatant about it over text. Also, I would've definitely called her out when she called you a rat. That is not a text you can just ignore and sweep under the rug. Anyways, this is unfortunately a absolute no go.