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It seems pretty clear that he is sending the message that he will do things his way without regard to your feelings and then lies about it. So, the question becomes...do you want to put up with this and is this the man you can be with? He doesn't sound to me like he has any intention of doing things differently so it seems like you deserve more.
He seems like he wants to be single so he can be available to others and not just you. What do you want for yourself around this?
I don't hear an honest or faithful man. I know you care and love him, but mutuality and respect in a relationship is a must and I don't hear that.
Let me know how else I can support you.
Please leave a rating here of my support. I see you opened a new question.
I would not suggest that because it hurts you, plays a game and then you are no different than him. I would carry yourself with self respect and take a stand with him by telling him how you feel, what you want with him and if he can come to the relationship with hinesty you are happy to continue.