OK, so it seems I always catch up on your sitch AFTER you are considering doing something significant that I wanted to comment on. LOL!!
This time it was the trip to the bowling alley. When I read that, I remembered you saying that you were looking to catch him in one more lie to make your mind up. My thought was that that could be it, he'd be there with OW when he's told you he's "not hanging out in any capacity". BTW, for the record: I'm a guy and I would consider bowling "hanging out". He's not on a date with her, but I would call it "hanging out".
Anyways, what I was gonna say about that plan is that you have to make sure that you're ready for both possibilities when you go do that: OW is there or not. What are you gonna do in each case? It seems to me that you weren't ready for it to clearly steer you one way or another, just MHO.
In the phone convo, you DID tell him clearly that bowling is hanging out to you. I think spelling it all out for him one last time was a good move. He can't claim to not have understood what you meant anymore.
LOL!!