I get colder the longer a fast goes on. If I lightly exercise it seems to jumpstart things and keep me in a good space for quite a few hours. Moving is my way to combat the cold
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I can’t help with the brain fog because my situation is the opposite (chronically ill and fasting actually boosts my thinking ability)
In my experience during those moments I just force myself to do something and once I start I’m way more focused than I would be otherwise. It’s weird, u kinda need to kick your brain out of that foggy feeling. Electrolytes and hot tea/ coffee helps too. Good luck!