A calorie deficit means you are taking in less energy than your body uses, so it makes up the difference from stored energy including body fat. It is the underlying requirement for fat loss regardless of which diet style you follow.
Low carb, low fat, intermittent fasting, and meal-timing approaches all produce fat loss when they result in eating less energy than you use. They differ in how easy that is for a given person to sustain, which is a real and important difference, but not in the underlying mechanism. Choosing the approach that fits your preferences and schedule matters more than the label.
A deficit of roughly 10 to 20 percent below maintenance suits most people. Larger deficits accelerate loss in the short term but tend to cost muscle, training performance, and adherence. The best deficit is the largest one you can maintain without your training, sleep, and mood deteriorating.
As you lose weight, a lighter body costs less to move and to maintain, so your maintenance level falls. People also tend to move less without noticing when energy is restricted. This is why a deficit that worked in month one may need revisiting in month three, and it is a normal physiological response rather than a broken metabolism.
Any calculator gives an estimate, not a fact. Take the number as a starting point, hold it for two to three weeks, and adjust based on your actual weight trend. Real-world data always beats a formula. How the body handles energy for different demands is covered in Exercise Physiology and Energy Systems.