What to do

[LiM]

If she's just sending nonsense, unimportant questions/comments, you don't have to respond. She's temp checking and trying to make sure she has you as "plan B." Part of what needs to happen for her to start coming out of the fog is that she has to realize some sort of significant loss. She's got to know that she has lost you; that you are moving on with your life because of her choices.
If she wants to ask how you are, then you can wait a day to respond and simply say "I'm fine."
If she asks what you've been up to, then you can wait and day and simply say "sorry, I've been really busy."
The A has got to die before the R process can start.