I wonder how it affects muscle building. I have low carb diet and try to avoid "fast" carbs completely except when taking proteins/BCAA right after workout--I

I wonder how it affects muscle building. I have low carb diet and try to avoid "fast" carbs completely except when taking proteins/BCAA right after workout--I was under impression that taking protein without carbs might result in burning proteins for fuel instead of using them to restore/build muscle.