Starting a sham friendship with XH to try to get him to end his R, leave his home, and reconcile with you is not real friendship and it will not help your chances of reconciling.
If you can have a genuine friendship not based on you wanting something from him that he doesn't want to give, then that might be OK. But, it doesn't look to me as though that is where you are.
And therein lies my frustration with myself.
So, just continue as I have been, one step in front of the other, and accept the sadness and missing him. Got it.
This sucks (says the little girl inside). Grown-up me has to wipe her face and get some work done...