That's still embodied energy, so the question becomes; "How much energy does it take to actually make these materials?"
In particular, the device is packed with Metal-Organic Frameworks (MOFs), which are synthetic porous materials engineered at the molecular level to have huge surface areas. A few grams of an MOF can have a surface area equivalent to a football arena, according to the source.
That sounds pretty energy-intensive to me.
I usually use my memory when I want to look back on my entire day and know what I did.