What do I do? My bf is addicted to porn..

Before you bash me on being insecure and thinking porn is ok, here is the backstory: We've been together 5 yrs, lived together for 4 yrs. He barely touches me, and we almost never have sex. This has been going on for about 3 yrs now. I've sat down with him at least 3 times to figure out why he felt the need to watch porn behind my back when he barely touches me. I've told him how it makes me feel unloved, ugly, not enough. I've even given him ways to tell me he is watching porn that are less intimidating and rewards for going a week without lying to me about it. We came up with it together. After being lied to several times about it, I said he needs to go to therapy for it to show me he even cares about how it's making me feel. He went to a few sessions. However, I just discovered he found another way to hide it from me, and he looked within the past few days and months. I've been lied to again. I've been rewarding him when he.has been telling me he hasn't watched porn. Idk what to do anymore. I'm going to test him today and offer him a reward. If he lies, I'm pointing it out. I'm just tired of being kind to him and understanding when I feel horrible inside. I've tried everything I can think of. I don't want to break up over this, but I feel like that's the only choice I'm being given rn, deal with it or break up. It's more of the lying I'm upset about than the porn watching. Any advice, or what would you do? :/