BF is a liar

I caught my bf on Hinge while being was on a trip after he straight up lied to me and promised he wasn’t using it and on it. After got caught he still continued lying and I decided to ghost because he only lies to me each time and it’s so obvious. I really highly doubt he got on the app and not cheat but he’s still texting me. Should I hold out or at least wait until he confesses if he wants a response