the "entropy of the universe" (which is an ill-defined concept)...
That is what I've been trying to tell you. (not ill-defined, rather unbounded)
...in relation to an "observer", which is entirely well-defined
And provable to no other observer.

for you?
So my cup of hot water has already an entropy of 10^25 bits. No computing system on earth masters a memory capacity (*) of 10^25 bits, not even the whole internet.
As if memory capacity is the entropy of the Internet (and which memory specifically?). Since when was the Internet an isolated system and not entangled with the user's lives? Someone posts something to Facebook shares with a friend who is talking about and hours later posts something back to the Internet. The offline surprises are not included in the entropy of the Internet? How did you decide where to draw this arbitrary border around what is the Internet? Can you define this border unambiguously (be careful!)?