Does he want a relationship? Help pls😘😘?

I’ve been going out on dates with this guy for about a month. He’s treats me like a princess. But he’s never brought up exclusivity or the relationship. Last night he told me he loves hanging out and doesn’t want it to just stop. He told one of his co workers about me and his co worker text him about it and referred to me as his girlfriend and told him we should play a game together. He read me that text and I didn’t say anything. Then a week later I mention the game and he said we should play and then said “yeah my coworker was like you and your girlfriend should play this” and so I’m wondering if he maybe is trying to see what I think of it but I’m not sure

Does he want a relationship? Help pls😘😘?
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