No amoeba that is currently living has ever been dead. Biological immortality is not magic. Amoebas are not Superman and immune to physical trauma.
No amoeba that is currently alive has succumbed to entropy or information degradation. There is no law of biological or genetic entropy that causes all living things to degrade.
I do say that everything in space/time - whether a live amoeba or a dead amoeba - is subject to the 2nd law of thermodynamics.
The live amoeba pays the thermodynamic tab when it successfully communicates (Shannon) - by dissipating heat into the local environment as the receiver (molecular machinery internal to itself) moves from a before state to an after state.
Again, communications is autonomous. The single celled organism is autonomous, self-contained.
In autonomous higher organisms, communications are multi-cellular.
You didn't really just say that.... did you?