"Do not fear those who kill the body but cannot kill the soul. Instead fear the one who can destroy both body and soul in hell."
Man is made in the image of God, triune 1 Thessalonians 5:23
Notice that nowhere does the bible ever mention the spirit being destroyed, only the body and soul.
Regarding the spirit and death, the spirit leaves the dead body
James 2:26
English Standard Version (ESV)
26 For as the body apart from the spirit is dead
2 Corinthians 5:8
English Standard Version (ESV)
8 Yes, we are of good courage, and we would rather be away from the body and at home with the Lord.
Revelation 20:10
English Standard Version (ESV)
10 and the devil who had deceived them was thrown into the lake of fire and sulfur where the beast and the false prophet were, and they will be tormented day and night forever and ever.
These three are spirits, see below.
Revelation 16:13-14
English Standard Version (ESV)
13 And I saw, coming out of the mouth of the dragon and out of the mouth of the beast and out of the mouth of the false prophet, three unclean spirits like frogs. 14 For they are demonic spirits, performing signs, who go abroad to the kings of the whole world, to assemble them for battle on the great day of God the Almighty.
Destruction implies an end to something, yes?
Clearly, the body.
Isaiah 66:24
English Standard Version (ESV)
24 "And they shall go out and look on the dead bodies of the men who have rebelled against me. For their worm shall not die, their fire shall not be quenched, and they shall be an abhorrence to all flesh."
Blessings,
Stephen