when they sinned, did God not place an Angel to keep them from eating the Tree of Eternal Life?
they had access to it, so, why not eat that First?
וַיֹּ֣אמֶר ׀ יְהֹוָ֣ה אֱלֹהִ֗ים הֵ֤ן הָֽאָדָם֙ הָיָה֙ כְּאַחַ֣ד מִמֶּ֔נּוּ לָדַ֖עַת ט֣וֹב וָרָ֑ע וְעַתָּ֣ה ׀ פֶּן־יִשְׁלַ֣ח יָד֗וֹ וְלָקַח֙ גַּ֚ם מֵעֵ֣ץ הַֽחַיִּ֔ים וְאָכַ֖ל וָחַ֥י לְעֹלָֽם׃
And God said, “Now that humankind has become like any of us, knowing good and bad, what if one should stretch out a hand and take also from the tree of life and eat, and live forever!”
וַֽיְשַׁלְּחֵ֛הוּ יְהֹוָ֥ה אֱלֹהִ֖ים מִגַּן־עֵ֑דֶן לַֽעֲבֹד֙ אֶת־הָ֣אֲדָמָ֔ה אֲשֶׁ֥ר לֻקַּ֖ח מִשָּֽׁם׃
So God banished humankind from the garden of Eden, to till the humus from which it was taken:
וַיְגָ֖רֶשׁ אֶת־הָֽאָדָ֑ם וַיַּשְׁכֵּן֩ מִקֶּ֨דֶם לְגַן־עֵ֜דֶן אֶת־הַכְּרֻבִ֗ים וְאֵ֨ת לַ֤הַט הַחֶ֙רֶב֙ הַמִּתְהַפֶּ֔כֶת לִשְׁמֹ֕ר אֶת־דֶּ֖רֶךְ עֵ֥ץ הַֽחַיִּֽים׃ {ס}
it was driven out; and east of the garden of Eden were stationed the cherubim and the fiery ever-turning sword, to guard the way to the tree of life.