Toxic relationship?

I’ve been with my boyfriend for about a month and at first it was absolutely perfect we would always have Good morning and goodnight texts and the effort was always equal. I’m 16 (he’s the same age) and sometimes I just feel so guilty. My friends are telling me to break up with him and saying he’s gaslighting me but I always feel like it’s my fault. I feel like I can’t break up with him because it’s my fault and I’m not trying hard enough. I’ve been fucked over by guys before so I have trust issues so I may be clingy sometimes but I do give space and I always make sure im not annoying him or doing anything wrong.

For context of this screenshot basically his friend was mocking Chinese people and saying things I perceived as racist (I’m half Chinese) to me. His friend said things like “china lame at bozo 🤣🤣” “china when they see dogs” (then a anime gif with a rabbit brutally and aggressively eating a human.) I was upset and talked to my boyfriend about it and he told me it was a bad joke and I’m being sensitive and to basically just forget about it and ignore him.

This is part of the conversation and in one point he said “your making it sound like I should feel privileged to be with you” I’m not sure if I’m being too sensitive and maybe just over dramatic but I don’t know what to do.

UPDATE:

I confronted him and said “I cant put up with this anymore” and he decided to not become better but to say “alr I want my stuff back” during the message conversation he proceeded to yell at me and tell me I’m a spoiled entitled brat and that “im not entitled to his sympathy” he started bringing up how he spent all his money on a bike sweater for me and now I’m breaking up with him? The gaslighting didn’t stop and at the end of the day I’m so glad I was convinced to end it because even from how the breakup went I can tell he’s extremely toxic and immature.