The transition to the death state is triggered by the death trigger, either from Idle or Any State.
There were no specific errors. However, during testing, the death animation did not play on the second death, even outside of combat.
Upon closer inspection, I discovered that during the second death, the character briefly entered the death state but immediately transitioned back to the idle state due to the resurrection parameter still being active.
It appears that the resurrection parameter had not been properly reset.
To resolve this, I created a schematic using the State Machine that resets the resurrection parameter upon entering the death state.
As a result, the death animation now plays correctly on the second death.
It seems the issue has been resolved.