My boyfriend talks bad about me with his family whenever we get into arguments would this be a deal breaker for you?

I have asked him several times to keep his family out of our personal business and he just keeps running to them telling them all of our business sometimes he even sends them screenshots of our conversations I use to do this in the past but I stopped because I realized what's going on in my relationship is none of my family's business and there just not going to like him if I keep telling them about our problems
My boyfriend talks bad about me with his family whenever we get into arguments would this be a deal breaker for you?
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