Adam ate from the Tree of Eternity. Does that mean people of Heaven aren't eternal?

فَوَسْوَسَ إِلَيْهِ الشَّيْطَانُ قَالَ يَا آدَمُ هَلْ أَدُلُّكَ عَلَى شَجَرَةِ الْخُلْدِ وَمُلْكٍ لّا يَبْلَى Then Satan whispered to him; he said, "O Adam, shall I direct you to the tree of eternity and possession that will not deteriorate?" [20:120] does that mean Adam and Eve weren't eternal in Heaven and their possessions deteriorated?