ויצמח יהוה אלהים מן־האדמה כל־עץ נחמד למראה וטוב למאכל ועץ החיים בתוך הגן ועץ הדעת טוב ורע
And from the ground Hashem, God, caused to grow every tree that was pleasing to the sight and good for food, with the tree of life in the middle of the garden, and the tree of knowledge of good and bad.
Hashem made a lot of trees, and the עץ החיים and עץ הדעת are singled out by name by the pasuk.
ויצו יהוה אלהים על־האדם לאמר מכל עץ־הגן אכל תאכל
And Hashem, God, commanded the Human, saying, "Of every tree of the garden you are free to eat"
Some of (all?) the other trees were in some way edible, just like the עץ הדעת, and Hashem entreated us to eat.
יאמר יהוה אלהים הן האדם היה כאחד ממנו לדעת טוב ורע ועתה פן־ישלח ידו ולקח גם מעץ החיים ואכל וחי לעלם
And Hashem, 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!"
The two "named" trees both confer abilities, one seemingly a soul ability, the second is less clear but could be a soul ability or body ability or both. The עץ הדעת gives some form of דעת (according to Kabbalah, it implanted in our souls the faculty of דעת itself). The second confers eternal life.
My question is very simple. Did all the other trees also confer soul (or other) abilities? Do we have any information on this in our tradition at all? Did Adam/Chava partake of any of them or did they go straight for the עץ הדעת?