He can't "let you go" because he doesn't have you!
Don't give him a "way out", find your own way out!
You sound lovely but I want to shake you OP, you're a grown woman - take control of your life and ownership of your decisions.
You've been seeing each other two months and have had a number of conversations in which is has explicitly said he doesn't want to be exclusive.
He's been honest rather than playing games, it's just every time you've set a boundary he's proposed another one and you've accepted it / carried on seeing him.
He's said he likes you and wants to carry on seeing you but doesn't want to be exclusive. That's honest.
You are playing games in that you want something different to what you know is on the table.
You absolutely do want to see him exclusively but aren't walking away despite knowing he doesn't want that and him communicating that over and over again.
Why are you giving him so much headspace? It's not a big drama - you have known him for eight weeks and want different things. Meh, life goes on.