did Adam & Eve travel, to temperate zones to eat apple or they found apple tree in tropical middle east itself

It was a magical apple tree....wait, not magical. It was the "holy" apple tree so it could survive in the harsh climate under God's protection.

they were in heaven when they ate from the tree

MO,
No apple was mentioned in reference to Adam and Eve. You are mistaken. Have a great day.
Thanks,
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The word apple is not found anywhere in the Bible.

Who said it was an apple they ate? The Bible describes it as fruit...NOT what kind of fruit.

Nothing in Bible tells us it was an apple. All we know is that it was a fruit of some sort. How it became known to be an apple is beyond me. Nevertheless, there are mountains in the Middle East and apples could grow at the cooler elevations. But again, we have no idea what kind of fruit it was.

The Bible doesn't say what the fruit actually was. It has become a traditional belief that the apple was the fruit, but it's just folklore. Bottom line, no one knows what the fruit actually was. BTW the Middle East is not tropical by any means, look at a map.

If I recall the serpent tempts Eve into eating the forbidden fruit from the Tree of the Knowledge of Good and Evil.

peace and love

If you are referring to the forbidden fruit they ate that brought sin into the world, then I have to tell you that you are wrong. No where in the Bible does it say the fruit was an apple. It says the "forbidden fruit". No, they didn't have to travel because the "Garden of Eden" had all they needed and the tree was in the center of the Garden.The serpent tempted Eve and then she gave it to Adam and he too ate of it. Both sinned and both caused the hard work to survive and hard time in child birth to be.