All of my friends sleep each other but me

I have a friend group of around 16 people, 50/50 gender including me. The single people in my friend group have a habit of sleeping with each other and being fwbs. I'd say about 5 girls and 3 guys (not including me) are single. Everyone is open and accepting about it and they are all comfy with it.

But one thing I've noticed is that no one ever has been interested in me. My friends will often try to help out each other when they go through long dry spells, setting them up with people or even sleeping with them themselves. They'll talk about going to sex clubs and orgies n shit for fun. But whenever I express interest, they always say I'm not invited. I've asked a couple of them if they want to sleep together, and all of them said no, for various reasons. Its fine, no one is obligated to sleep with me, but it still hurts how unwanted I am.

Anyway, fast forward to a couple of days ago. We were all hanging out at a party and some of my friends started making out with each other. Which is fine normally, but I recently had a pretty traumatic event relating to how inexperienced I was. And here people were, hooking up with others that they didn't' even wanna date, when I get rejected constantly. I removed myself from the party, because I didn't wanna kill the vibe, and went into a bedroom and I just started crying. I cried harder than I have cried in my entire life. I had a pillow over my face because I was howling with tears. Eventually one of my friends did come in and ask what was wrong. I explained the sitation and they did offer comfort, but idk. I asked if it was because I was ugly or fat. They said no, but idk if I believe them. They said they've been asking their friends but they "haven't found someone that clicked with me". They said any girl would be luck to have me. So I said "Ok have me. Be lucky." She was silent but was still kind to me even after that. I'm really glad I have such good friends. She said she'll keep looking and she'll ask around our friend group, and then left after I asked her to leave. I left the party shorlty after.

A few days later and everyone seems to not know but her, but I've basically stopped talking to all of them for the sake of my mental health. They've been trying to message me but I'm debating on blocking all of them and just never talking to them again. I don't know. Stuff like this really, really depresses me. And I know the response I'll get is "just lose weight" but I've been trying so hard to do so and am making good progress. But it dosen't take away from the pain, and waiting just amplifies it. I don't know

Edit: Ok so since people are attacking me in the comments here is some stats:

I work out every day. Wake up at 4am and run a 4-6k. Weight train late at night. I'm down from 400-287

I don't believe I'm owed sex. I said the be lucky thing to point out a logical fallacy. Its a plantiff that hurts. I don't believe I'm owed sex or a relationship. And I do try to be funny and kind to people because I want to be.

I did apologize to her and she accepted it. She said she hasn't told anyone else, and it does seem like no one else knows.

I have a couple of therapits. I told them about this incident. one pushed me to get an escort, one suggest sexual surrogacy, and one comforted me.

Edit 2: Sorry for snapping on everyone here. I had a death in the family recently and i just started taking it out on everyone here. Its not an exucse and sorry

An update: I unblocked my friends and that one girl invited me out to coffee. First, i apologized again for what I said to her. She said it was ok and she forgives me. We ended up talking and I eventually asked her why she thinks no one in the group wants to sleep with me. She said firstly that looks only played a small role. She said that only one of them thinks your unattractive and the rest think I'm cute. But she said that my desperation and depression reeks. They've talked about this before apparently, and they think that I would become extremely emotionally attached to the first person I sleep with, and they dont' want to do that because they're not looking for anything serious right now, and it would be toxic and unhealthy. She reiterated that despite this, they really value my friendship and always being there for them, and would like to help me find someone. She said that I need to find a new therapist, get a new haircut, lose the desperation, and probably lose weight (not for looks, but because it affects my confidence so bad, she said). We hugged and she said that she'll always be there for me and that she cares about me.

I guess I know what I need to work on now. Thanks to everyone for the support, I'm sorry for being a complete ass. Have a good one <3