BF puts video games before relationship

Me and my boyfriend have been together for 3 years. In the past 6 months we’ve been having an issue with making time for each other. Back in May we both agreed to do better at making time for each other. In the past 2 months we’ve had 3 conversations about how I feel like he doesn’t show me enough attention/make enough time for me. He always agrees to work on it, and that’s all I ask. When he’s not at work, he’s at my house playing his video games! He barely spends any time with me while at my house cause he spends the entire time on his game! I have to ask him to turn it off sometimes, just be with me 😣 Wanting attention that my man doesn’t give me, I decided to reply back to a dm that I would normally just delete. And me and the guy actually click! I am almost certain this will not lead to a relationship, but most deff. a friendship, maybe? I’ll be fine with nothing tbh I’m just happy someone wants to talk to me! Am I wrong for responding? Should I break up with my BF (tbh I’m not happy anymore 😔)? I don’t want to hurt his feelings, cause he’s a nice guy, but I don’t know what to do anymore. I’ve voiced my concern multiple times ☹️