There is physical death, the promise of resurrection and judgment.
Eternal death means you’ve been judged and found wanting. At which point the spiritual body is cast off, killed, ended.
See also my post at #34.
I think that might seem unpleasant, if you had much time to contemplate it, but after the fact it seems pretty cushy. Have you ever been completely knocked out for surgery? Was that unpleasant? It’s nothingness. I don’t see that as much of a punishment. I would certainly opt for that over what I envision Hell as being. Of course, being a Christian anything short of being with God and Jesus are not my preference, but if I were a non believer, why would I care if I simply died and was eternally not aware? That just doesn’t seem in any way awful. As I said, for one moment I might be unhappy when I realized there had been another option but then, I would be over it, eternally.