I think your use of the words....” Spirit of Life and Spirit of Death”...can appear distracting for some.
So what do you make of the passage that tells us Israel makes a pact with death to begin the seven years of the tribulation / time of Jacob’s Trouble? Satan is the spirit of death. The satan directs the unregenerate via his spirit of death operating in the human spirit. Jesus referred to this spirit of death in the unregenerate when He was confronted by the man who wanted to go bury his father before joining himself to the disciples: “let the dead go bury the dead” the spirit of antichrist is the spirit of death. That spirit is destined for the lake of fire ... and if that spirit is in a human spirit, it too will end up in the lake of fire due to the presence of death in that human spirit.