Boyfriend has a female friend I don’t agree with

Tldr; boyfriend has a female friend I don’t agree with

So my boyfriend [23M] and I [22F], have been together for almost two years. So he has two friends, let’s call them Jack and Kate. He’s known them since he was a little boy, but he’s never really been close to them. Up until this year, they never really talked. Especially him and Kate.

So in December of last year, Kate swiped up on one of his Instagram stories about coffee, and since that day, they talked for a couple days straight in a way that to me, seemed like the way you’d talk to someone that you’re getting to know. And it could be two old friends that were catching up except they were never really friends, they just knew each other very casually. And I told him honestly, that it kind of bothered me the way they talked so much, and so he kept texting her until it died off and he understood why it bothered me and whatever that was that.

So this year, Jack and and my boyfriend start getting close and now they’re best friends. And Jack likes Kate and Vice Versa so now they’re all hanging out in groups with other friends. Then eventually, Jack and Kate start dating.

Now my boyfriend is very nice and friendly but it can definitely come off as more than that and it bugs me but nothing I can do about it. So Kate starts texting my boyfriend again joking about how Jack is all hers and my boyfriend is like no he’s all mine, stuff like that all jokingly. But the texts seem a little off to me, like flirty almost, from her side. And again I tell my boyfriend she’s very sus to me but he doesn’t get why since she’s just his friend so whatever. They keep texting occasionally, her Always being the one to text first and she keeps sending him random tiktoks.

So now Jack, Kate and my boyfriend are all going to a concert together with some friends. Except Jack and Kate are now broken up and Jack is no longer going to the concert. So the people who went were Kate, my boyfriend, some random chick, my boyfriends friend and his girlfriend. Now my boyfriend loves the band and he felt bad going since Jack wasn’t going anymore but I just wanted my bf to have a good time. But as it starts getting closer to the concert, Kate keeps texting him more and even calls him one day when I’m with him, to talk about the concert but the way she was talking almost like infuriated me because she was acting so nervous and dumb and shy as if she didn’t know how to speak. And she even shared her location to him so he could see where she was idk. And also forgot to mention that when she was still with Jack, they all went to the beach and she was texting my bf asking if he was gonna get in the water and weird shit like that.

So yeah, by now I’ve expressed multiple times how much it bugs me that they text so much and how they text and he still doesn’t really get it. And she keeps texting him and he keeps answering. There’s even another concert that she invited him to, which Jack is also going to and she knows that and knows Jack and my bf will go together yet she kept asking my bf if he wanted to go with her and some other people.

So at this point I’m already mad and feel kind of sad that he doesn’t get why she bugs me and he keeps saying she’s my friend but I’m like friend how, what has she done for you for you to consider her a friend when you guys hasn’t even talked until this year. And he says okay okay you’re right but still wouldn’t get it until another female coworker tells him that she’s sus and his friend Jack also seemed bothered that he was texting her.

So now he finally stops texting her but I’m mad because he didn’t listen to me and how I felt and instead listened to someone else tell him the same thing I told him, that she’s sus. And now I bring it up and he STILL doesn’t get it, he sus he does but he keeps saying they were just friends. And I’m like had the roles been reverse you wouldn’t have liked it and he said well if they were your friends I wouldn’t care and I was like okay keep that same energy and then he goes and turns it around saying that if I do something just to be petty then that’s bad but I’m like you’re doing the same thing and yet I’m made out to be the bad guy.

I wouldn’t be against female friends but the way they act throws me off and idk if I’m valid in feeling this way or if I’m being unreasonable? What do you guys think? What can I do next?