Depends on the defenition of finished
We arrived at the current state on monday. It is drying now, I will start some small fires during the weekend. I am thinking about how I am going to do the flue at the moment, it will be "free standing" with a heathbreak so I can build that against the oven later.
In this state, I just have to throw some ceramic blankets on it and I am able to make some pizza so in a way.... it is finished
I plan to realy finish it after it is fully dried out.