Your conclusion doesn't follow, there's nuance here.
She claimed it over 3 months, it might just be errors in measurement, water retention can make a big difference, there might be muscle mass loss (small amount, countered by water retention perhaps), etc. (see my other comment for some other potentials.)
Let's not just assume our model is definitely correct because it correlates to energy conservation - energy conservation assumes we know exactly energy in/out and that weight is a good measurement of the balance of the two and that we are measuring it accurately.
Only for several months while (probably) leading an otherwise sedentary lifestyle. Still remarkable, but a far less impossible feat.