Has anyone stayed with their cheating bf and worked out?

I'm wondering if I should give him a second chance. He flirted and video sex with a girl he met online saying I love you and stuff. He said he's really sorry and he sounds genuine. Idk if I should forgive him. I love him so much, and he proved to me that he blocked the girl when I ask him too. He said he loves me so much and everyone makes mistakes. He still choose me over her. I'm 16 and he's 20 what should I do?

He cheated 3 months after we started dating, he cheated with the girl for 3 months. We've been together for 6 months now.

Please anyone comment if this ever worked out for you. I don't want to let him go.