I agree.
I believe the state of the unsaved spirit will be destroyed eternally which is being put to death. This involves unbelievers and those who do not obey the gospel of Christ.
I believe being destroyed, or put to death rather, is permanent and will not be reversed. I don't see any such verses that talk of being put to death, then resurrected, in an eternal cycle of eternal torment.
Philippians 3:18-19
18(For many walk, of whom I have told you often, and now tell you even weeping,
that they are the enemies of the cross of Christ:
19Whose end is destruction, whose God
is their belly, and
whose glory
is in their shame, who mind earthly things.)
2 Thessalonians 1:7-9
7And to you who are troubled rest with us, when the Lord Jesus shall be revealed from heaven with his mighty angels,
8In flaming fire taking vengeance on them that know not God, and that obey not the gospel of our Lord Jesus Christ:
9Who shall be punished with
everlasting destruction from the presence of the Lord, and from the glory of his power;
Revelation 21:8
8But the fearful, and unbelieving, and the abominable, and murderers, and whoremongers, and sorcerers, and idolaters, and all liars, shall have their part in the lake which burneth with fire and brimstone:
which is the second death.