Isn't it the case that energy and matter are interchangeable and cannot be destroyed? The phraseology "require more energy than exists in the universe" seems to imply that once energy has been used to accomplish a function it is thereafter lost. But that is not how it works as I understand it. After energy accomplishes something it still exists at the end of the process, just in a different form. So maybe it is imossible to process the information concerning the whole universe all at once, but parts of it can be processed successively, until it is all quantified.
Plus as more and more of the universe is given over to processes which involve understanding itself (consciousness) we will realise we are reaching a point where the universe itself is destined to be self-aware, not merely beings within it. This super consciousness, as it expands and advances, will necessarily involve all consciousness that exists and has ever existed. So the part of the universe that is the subject expands and the part that is the object shrinks, to the point where the universe is pure consciousness. Necessarily involving the consciousness of all beings that have ever existed. This is a basic argument for panpsychism. I have until now assumed that conscious beings are discrete entities and matter is easily divided between conscious and unconscious, but these are not safe assumptions