Honestly, I don't see anything wrong with occassionally inviting your W to come over and have lunch with you and the kids.....afterall together time is a goal...right. I think the important thing is not not tie your happiness to it, have a good time regardless and it is her loss if she doesn't want to come for whatever the reasons.
You have seemed down ever since you have not had a follow up since the "pool-date". Pull yourself back up and recognize that she has just pulled back a little bit....and GAL with your kids
TwinDad Me 39, W 36, M 11 W - MLC, WAW???? 2 Kids B/G 3 YRS Old Start of the Long and Bumpy Road..... On the verge of piecing.....a new beginning