Should I eat the calories I burned from exercise?

So I am eating 1200 calories a day to lose 2 pounds a week. I exercise everyday on average I will burn 800 calories but sometimes even up to 3,500 since I like to take extensive hikes as well which burns a ton of calories. So should I be consuming the calories I burn from exercise, or at least some of them? Because I don't want to go into starvation mode since I'm already at a calorie deficit to begin with without exercise, but will I still lose weight if I consume the calories I burn from exercising?

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