I'm not an expert, but I am pretty sure your body will not "burn" muscle for energy unless you have reached essentially a starved state. Protein is an efficient building block for muscle, carbs and fats are the sources of energy and are interchangeable. If you have no sugar left in your blood, you will break down fat to supply it. Only after all of that is gone will you have to worry about your body breaking down muscle. Given that your fast is probably only since dinner the night before, and most of us don't keep ourselves in a nearly-starved state, you are probably okay.
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