sex addiction?

i just found a fake instagram account on my boyfriend’s phone and saw he was messaging girls asking for nudes, saying he would pay for nudes, he even sent a dick pic..i have never been the type of girl to give second chances, ever. but we have a 2 month old daughter and he’s an incredible father and i’m so lost now. i love him so much, he’s been there at my weakest spots and has never left my side.

he told me he thinks he has a sex addiction, he always told me this but i never ever ever took him serious, i always thought he just always wanted to have sex with me. i knew he masturbated to porn and for me i never saw porn as cheating i saw one time he was watching porn on his phone and i just laughed and joked around with him about it, even told him we should watch porn together.

he told me he started watching porn at 6 years old and when he started to masturbate he would do this everyday, he had stopped this “sex addiction” and once i gave birth it began again i just now found out and i’m lost, i want to forgive him but i’m also so hurt and disrespected i really wish i knew what to do.

has anyone ever been in my situation?