Well I will answer this way,
if someone gave me a chance to be with my kids,
wild horses would not stop me from taking that opportunity.

As far as inviting her,
depends on what your objective is.

If you are trying to win her back by expecting something
after you give her extra time with the kids, I would say - NO.

If you can do it just because it is good for the kids.
And have no expectations about your relationship, then - Yes

Me-70, D37,S36