The story is (likely purposefully) ignoring some other ways you can "lose weight/energy" from your body. But I am curious what would the complete list be...
* heat (the most obvious one, not explicitly mentioned I guess?)
* even in healthy humans, some fatty acids are excreted with bile into the gut and subsequently removed via feces
* if you are fasting (or in ketosis, such as via keto diet) you will exhale / sweat ketone bodies, which is a very ineffective way (energy balance wise) to use up fatty acids
* if you are a diabetic, you can excrete glucose in your urine; we have subsequently develop drugs that can help mimic this process as a diabetes treatment
* skin, hair and nails (very insignificant amounts)
* sperm & menses
Anybody got anything else I am not currently thinking about?