where will you guys go?
How long can you both maintain 3 different living spaces?
The family home, the place where you will go on specific days, the place where she will go on specific days?

Seems like a lot of work to me.

I wouldn't bother with the time limit on separation,
you give a wayward a time limit, they'll use every minute of that time and ask for more on top of that.

Since she wants out of the marriage and relationship with you,
just ask her to leave, plain & simple, tell her she can have a few weeks to find a new place and you can help her pack. It makes little sense to maintain 3 separate living spaces, plus the time line shows you're still attached to the outcome.

Let her go, offer to help her move out, she wants out of the relationship, she should be the one to find a new place, plain & simple. How she figures out the details on how she accomplishes this is not your problem to figure out anymore.

That's my take on it.