That’s funny, I don’t read it how you read it.
Chapter 1 - plants are created on day 3, fish and birds on day 5, land animals on day 6, then adam (man or mankind).
Chapter 2:5 - certain plants that God created on day 3 had not yet sprouted because of some environmental factors and also because there was no adam (man/mankind).
2:7 - God creates adam
2:8 - God had planted a garden and made trees grow in the garden. (But trees had already been created, He is just making them grow now)
2:15 - God puts adam in the garden
2:18 - God decides to make a helper for adam
2:19 - God brings all the animals that He had already made to adam to name them and look for a helper (question - if women already existed, why wasn’t there a suitable helper through all of the animal kingdom?)
2:21 - God puts adam to sleep and while adam is sleeping God creates a woman.
2:23-24 - the concept of marriage (question - if the process of becoming one flesh already existed in homo sapiens, why is it introduced now?)
For me there is no inconsistencies the way I read it, except for the problems in brackets which arise from is “adam” one man or the whole mankind? So if this adam is Adam the man, the first man, the father of mankind, then adam can be correctly both Adam and all of us. But if Adam is not the first man, then adam must be mankind and not man.
Chapter 3 answers this because after this man/mankind and his wife sin, in 3:17 God addresses adam as u-le-adam, “the first man” or Adam.
3:20 - Adam names his wife Eve (life) because she is the mother of all the living.
3:22 - God says that adam (man/mankind) has now become like one of Us, so He decides to banish adam from the garden lest he eats from the tree of life and lives forever.
This is how sin and death enter adam (mankind) through Adam (the first man).
Also Eve says after giving birth to Cain in 4:1 “with the help of the Lord I have brought forth a man child”. To me this is significant, and I wonder why this is in the Bible. Is it because she’s done something that has never been done before? I don’t know, but I wonder.
Also 2:4 part that seems to conclude chapter 1 and start a new narrative- I agree with you there, but I disagree that creation of Adam and Eve happens chronologically after day 6. I think chapter 1 is the account or an overview of what God did on each day of creation. Then that thought ends and a new thought begins - the story of the fall. Chapter 2 sets up the stage by going into more detail of day 6. So altogether all the points are chronological - God creates everything (days 1-6), Adam and Eve sin, creation gets cursed, they lose their immortality, then start making kids (chapter 4), and so on.