How much more space does gal need to get herself together so she can find herself and work on the M?
If she tells me she needs more space and wants me to not come home for a time.....do I give her the space she needs?
You don't "need space" in order to "work on the marriage." That's BACKWARDS: you two need to be CLOSER TOGETHER to work on the marriage.
Why would YOU be the one to not come home to your own house, when she is the one that has cheated on you multiple times (including carrying on an affair in your own marital home) and repeatedly lied about it?