I think it doesn't matter about the ring. You should just do what you want in that regard without even wondering if it will get a response from your wife.
Buddy, she isn't even going to look at you as long as she's with OM. For the moment, consider that she doesn't care what you do. She thinks she's all kinds of happy, probably that this is her true soulmate. Don't think up fancy tricks and ploys to win her back. Just start throwing yourself back into life. Get out of the house. Get together with friends. Rediscover old hobbies or find new ones. Join a team sport for fun. Whatever you want to do. When the shine wears off the new relationship, she may take an interest in what you are up to. Make sure you show her something that is worth coming back to.
After you've had a month under your belt of truly living your life FOR YOURSELF, then you can look and see if it's just wanting something someone else has, or whether she's truly worth wanting.
You cannot be lonely if you like the person you're alone with. Dr. Wayne Dyer
