Does he want to be with me despite saying no to a long distance relationship? Are we already IN a relationship?

Anonymous
This guy and I have been talking as friends since January and have gotten really close to each other since we met in person in March. We both enjoy each others company and get on really well and have kept our emotions in check and still going out on dates with others until recently.

We've both caught feelings for each other, whenever we're with each other we act like a couple. We've been in each others friendship circles and have acted as a couple infront of everyone. We talk all day, everyday and share common interests. Neither of us have been out on a date in weeks, maybe months because neither of us are interested in finding anyone else. Neither of us are talking to anyone else.

We both make comments about how we're both gutted that we don't live closer to each other (under 3 hrs away) and he has point blank said that he won't do long distance because he needs physical touch and he won't move from where he is now because of his daughter, which I understand. I need physical touch too (we have the same love language) but I would be willing to give it a try with him and potentially move to where he is (I have family not far from him) if things were going well. I haven't told him I'd consider moving if things went well because I don't wanna feel like I'm coercing him into something he doesn't wanna do.

Im stuck on what to do in this situationship. Long distance won't work, but neither of us want other people. The consistency, affection, trust and communication is 50/50, I feel our relationship would be very healthy. Do I really HAVE to cut ties? I feel like I've found the person I should be with and don't know where to go from here.
Does he want to be with me despite saying no to a long distance relationship? Are we already IN a relationship?
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