My understanding is that state owned enterprise has become very dominant in Russia after the start of the war, and a lot of private business is now being state directed. So, I think it's fair to say that the commanding heights of the economy are largely under state control now.
The war industry isn't actually that big of the overall percentage of the overall economy. Western publications tend to focus on the war industry as the explanation, but the reality is that western decoupling opened up a lot of economic niches that are now being filled domestically.