See the beginning of
the argument:
“The fifth way is taken from the governance of the world. We see that things which lack intelligence, such as natural bodies, act for an end, and this is evident from their acting always, or nearly always, in the same way, so as to obtain the best result”
The 5th Way is more fundamental. It explains why there is order and regularity in the natural world (natural laws) - why non-intelligent things act "always, or nearly always, in the same way". For example a moon orbiting.
To explain something in the 5th way, you need to go back to the beginning, as far as possible. Evolution currently starts at replicators, which is not as far back as you can go. In the beginning, was not just replicators in water, but very simple chemicals in water. The latter is the 5th way. If you do not go far enough back, this will preclude full logic, and will require, dice and cards, since you lack the very beginning logic to explain the anomalies that need diced and cards.
As an analogy, say you meet a new person who starts a job where you work. They are quiet and do not offer much in terms of their past. All you have is data connected from t=0, defined as when they started work. After a few years, you may think you have them pegged; correlated, in terms of behavior and quirks. However, all that which happened, from birth, to when they started work, will still be needed to get a full picture, as to why they do certain things. Correlating why their lunch has to sorted a certain way, is not the same as, why do they do it that way? Somewhere in the past, before your t=0, this all began.
The 5th way requires more out of science than they expect of themselves. The idea is to reach logic, and get past the whims of the gods that result when you start too late, and don't know how the play began.
Say you go to Broadway to see a play and due to traffic you enter at the first intermission. If you do not inquire what happened, in act one, but start the play at the second act, your logic may diverge from reality, You will not know that two characters were once close, had a fight and now avoid each. What you see is two antagonistic characters. Your line of reasoning starts wrong and when the play ends you are confused as why the author caused such an irrational ending, based on your best logic. He must be a Creationists.
I never learned about the 5th way, but do it naturally. Even BB needed one to got back further than the singular, to address all the mysteries that the current theory does not extrapolate, such as the rapid formation of galaxies and universal superstructure. This is why I use conceptual framework for thinking, to make sure all the basics add up and there is no extra puzzle pieces left over. If there are, we need to go back further in time to find out why? Somewhere, much earlier there is a logic even for this, which can be added to make the theory better.