Thank you all for your support and guidance. I wish I was here earlier and had applied all the techniques earlier just after BD.
Lost a lot of time and made all the text book mistakes for two months till I confronted. ( Now I feel I was not even acting like who I really am. Guess I was in shock and did all the begging, pleading, moving out of MBR and all household chores stuff. If I was me after BD, I would have done exactly what the forum members suggested. NOt sure why I acted like that.)
I so wish all newcomers come here as soon as they hit BD and make use of the best advice they get here.

Wife messaged yesterday that if I was open to idea of taking our D out on her birthday to zoo and have lunch or dinner together with her.
To that I replied "Okay, we can plan that". (Just want my D to have the best of her big day).

I am planning to tell her when we exchange D this week that "I have plans to take D for waterpark for two days to a city nearby and would like to leave early after her birthday celebration with us, so we need to start early that morning and finish by lunch, so that me and D can leave"

Also, we are having no communication other than about our D through texts and no verbal exchanges during D exchange . I am not very keen on being with her for that long in the zoo but would do it for my D. Not sure how should I be during that time and....
Should I initiate any conversation?
If she talks about things, what should I do?
How to deal with awkward silence which I am sure will be there for most part?

Thanks again for all your inputs and looking forward to having your words and guidance.