You misunderstand.You are on the right track.
Accept the text.
"DEATH" means to, well, die...
and that's what God said would happen to Adam if he ate said fruit.
Dying "Spiritually" is a problematic concept. All manner of Theological propositions are proposed because of insisting that this idea needs to be fleshed out.
Assuming humans are inherently "Spiritual" beings now inhabiting a body......then, "Spiritual" death is meaningful.
"Spiritual" is (IMO) simply a term to justify non-sensical statements that don't stand up to scrutiny.
One can always say that my Theological statements are "Spiritually" true. Even if everything I'm arguing is nonsense:
Adam was made from the Dust of the ground....not some ephemeral "Spiritual" matter.
God is fundamentally a "Spiritual" being.
Adam is not. Never was, never will be.
Although God himself is Spirit.......he created a material world:
God does not consider the "material" or physical to be somehow "lesser" than the spiritual.
He is Spirit: but he made the crowning achievement of his creation physical and material. It was a physical and material Universe he created, and a physical and material "image-bearer" he put in charge of it:
God wanted his image-bearer to rule his material world rightly.
B.T.W: to be an "image-bearer" is akin to being the "ambassador". Put differently, Adam holds the kings seal or "image"....
He has the authority to rule over his creation in God's name..........because he has the "image" (like a signet ring).
When, God's (who is spirit by nature) "image-bearer" (ambassador) failed to take care of his material world, he sentenced him to death.
God is by nature immortal.
Adam is not.
Adam needed access to the "tree of life" in order to live forever.
Genesis clearly tells us that God (after Adam's sin) did not want him to have access to the tree of life...
Otherwise:............. he might eat and LIVE FOREVER. So, he placed guardian Cherubs there to prevent his return to the garden.
God is telling Adam that when "in the day thou eatest, thou shalt surely die" is simple prolepis:
And that manner of speaking is common throughout the Hebrew Bible.
1Ki 2:37
For it shall be, that on the day thou goest out, and passest over the brook Kidron, thou shalt know for certain that thou shalt surely die: thy blood shall be upon thine own head.
1Ki 2:42
And the king sent and called for Shimei, and said unto him, Did I not make thee to swear by the LORD, and protested unto thee, saying, Know for a certain, on the day thou goest out, and walkest abroad any whither, that thou shalt surely die? and thou saidst unto me, The word that I have heard is good.
When Adam ate of the tree: God (who is immortal and Spiritual by nature) condemned him image-bearer Adam (who is material and physical by nature) to die.....
That is the teaching of the Hebrew Bible. That is Hebrew thought.
Ancillary questions are brought up by Greco-Roman paganism.
Paganism asserts that humans are not material beings, but "Spiritual" beings.
Paganism asserts that immortality is the default state of humans. We live forever, because we are inherently "Spiritual" and not physical beingsl
Christianity can only be understood given the Hebrew world-view:
God (who is spirit) became a man (who is flesh) in Jesus Christ.
Calvinism is based upon pagan assumptions about the nature of God, man, and Christ.
The Bible does not speak of Adam's death as a "SPIRITUAL" death....
It meant God was going to kill him.
Christ was killed in Adam's place.
Amen for that!
Jesus spoke of the "dead". This means people who are spiritually dead. Jesus said to let them burry their dead (physically dead).
I do not think those people were spiritually alive and then spiritually died. They were just in a state of spiritual death and in need of spiritual life (which can only be found in Christ Jesus).
Your error is assuming people who are in a state of spiritual death must have at one time been spiritually alive, then died spiritually, and need to be made spiritually alive again.
It seems a common error (at least judging from this board) that can be remedied by simply reading your Bible.