<human>: Can you provide a brief overview of the text?

M/ 19 5'8" SW:260 CW:225.6 GW:<200
My TDEE is about 2450 and my calorie intake is usually around 1200 (Well for the stuff I log, there might be stuff like sauces or a single gummy bear that I don't log. So it might be 1200~1500). My daily deficit should be around 1200 calories. Anyways I have a fitbit HR and I look at the calories burnt which syncs into MFP as exercise calories gained. I usually ignore it and eat 1500 calories when I work out. I noticed that when I work out, I might burn 4000-6000 calories in a day according to my fitbit; regardless I still eat only 1500 calories. Saturday I burnt  a total of 6092 calories, exercise and basal included, all in one day and only ate 1569 calories. Thats a 4,523 deficit for the day. The next day I weighed myself and I lost 1.2lb which is near the 1.29 lb predicted from the 4,523 deficit. Just last week I lost 5lb in a week, I know it should be 2lb a week max. The only thing I changed last week was that I've been working out more and more intensively, the foods and the amount I eat is the exact same. I usually just did diet and no exercise since Feb. The only time I lost this much weight in a week was the week I started and most likely because of water weight. So this time around its not just water weight I've lost, it seems like the calories burnt from my fitbit is kinda accurate to my actual calories burnt and I was wondering if I should eat the calories back.
<bot>: Burning a lot of calories from working out. Lost 5lb in a week. Didn't just start the diet, cant be water weight. Wondering if I should eat back the calories.