First, I recommend DarthLuigi at ketogains. Met him in person, and he is the real deal, and looks like you probably want to look.
He has lots of info on their website about doing what you want. You don’t need an insane amount of protein to stop from losing muscle.
Also, REST is more important that working out every day. In fact, my first thought is… If you are lifting EVERY DAY, when are you rebuilding??? (you rebuild when you rest/heal).
I would assume you are stressing your body constantly. If I do that, I start getting colds/run down… Slow/Slow or Time Under Tension until Exhaustion takes a lot out of you (it does me). Dr. Ben warns not to do it more than twice a week, if you are going that intense… To give your body healing time.
Also, don’t be afraid to cycle between gaining muscle, and losing fat. But you will have to experiment to find the perfect blend of protein, and let your body burn your fat. I think the Sauna Daily is fine. Personally, I would do HIIT 3 times a week, and the Slow/Slow twice a week, reduce the fat as your are planning, and pick the protein up only a little bit.
I would also use a dexa scan, give your body a few 90 days, and measure. Tweak your numbers, and do another 90 days. Until you find what is perfect for you.
Share your results so others get an idea of how to do this in the future…