If she is asking you to spend time with her without your S then maybe she wants to spend some time with you.
"I do not think this is any attempt to reconnect as I truly don't believe she feels remorse for her actions and I still think she has resentment from the past year of me not showing enough love"
I don't think you should be guessing at what she is thinking...if it's one thing we've all learned it's that there is no use in trying to figure out the WAS.
What if she is making an attempt to reconnect? And here you are denying all attempts.
If you're detached can't you accept the odd invite and see what happens?
H 37 W 31 S 2
T: 7 M: 4
BD 12/18 Separated 2/19 Living back together 04/06/2019 W Moved out again 07/15/2019