How do I get his attention back?

I'm talking to a guy and he seemed very interested and sent romantic texts and said good night every day for a week. I got drunk one night and by accident said another guy's name through video call. We haven't met but we hit it off and now he's taking long to respond and doesn't text or call me first nearly as often. I told him I cut ties with that guy.
How do I get his attention back?
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