Where to start with WAS

[Mumin]

I basically just need to give her the divorce and move on with my life at this point. If she comes back, great. My guess is she wont, but I can't let my life be contingent on what she does or doesn't do.

If you are ready for it I would phrase it like this: You should divorce her.
Personally in my sitch I am very glad I was the one to hand her the papers, not the other way around. Though a word of caution, make sure that it doesn't impact your bargaining power. My understanding is that in some cases/countries it can impact you position negatively if you are the one to (legally) initiate the process. Consult a lawyer!
Don't do all the work and do NOT just agree to her terms.

Most of us here have gone trough it, we can guide you along the way if you want/need.