No, You didn't die. The concept was, that nobody should die in the game. Thank you for trying it.
I haven't found the reason, why are you couldn't reach the third zone... The game was maybe a bit buggy here and there (the 4 hours weren't enough to serious playtests), but the main story can be reconstruated. When you complete the first two zones, their links should disappear but the third link was stable, at least i thought so... i'll check it...