^ So, as you can see, A&E were not created with eternal life/existence, meaning nothing of them at all could go on into eternity from them.
They were created to never die. It was the disobedience that killed them, not the way they were created.
Who said they were not eating from the tree of life all the time? That would not have changed their ability to live for ever. Their ability to live for ever, meant they could keep eating from the tree of life forever. They were already living before the tree was planted. They being Adam and the sons of God. Eve came after the tree of life was planted. Those on the 6th day came 1000 years before God planted a Garden and placed Adam in that Garden. The Sabbath was in between the 6th Day of Creation, and when God came back after the Sabbath to plant the Garden of Eden.
Genesis 2 states God came back after the Lord's Day and planted again. During the Day of the Lord, no new plants ever grew. It says that nothing wild sprang up. Nor was any ground tilled during this Lord's Day. It was not 24 hours. It was, according to 2 Peter 3:8, 1000 years.
Many think Genesis 2 is God stating creation over again, but not in the same order. All Genesis 2 states is that no seeds ever germinated for 1000 years. Nothing wild, and nothing domestic. The seeds of the plants and trees was the diet of all living creatures, even in the sea. Nothing entered the ground and brought forth new plant life until God returned and planted the Garden of Eden.
Now one could argue it was an indefinite period of time, like Amil do, but it certainly was longer than 24 hours. Was it 10,000 years, 100,000 years? Longer? I will stick with 1000, like Peter did.
The Sabbath allowed the sons of God to multiply and fill the earth as God intended. After that, God separated Adam and placed him in a Temple setting. Adam was the keeper of both trees that God planted. Adam was told one command. Not to eat of the tree of the knowledge of good and evil. The day he ate, disobeyed God, he would die. That is exactly what happened, when he ate.