You don't have to do anything in particular.
The discussion simply highlights that with these sorts of logic circuits, you need to keep an open mind.
You might for example come a cross an IC that seems like in testing that it is not working. So it is very tempting to blame that IC. However it could be malfunctioning because of another IC driving its inputs is faulty, or another IC loading its outputs is faulty.
If the IC's are in sockets, then it is all pretty easy, especially since 74LS*.* IC's are easy to get and cheap, you can just try replacements.
However, in cases where the IC's are soldered onto the pcb, then a lot of patience, thought and testing (usually with a scope) is required, or if that is not done IC's get removed from the pcb unnecessarily, often with pcb damage, unless the technician is very experienced and has a good temperature controlled soldering iron & solder suckers & solder wick.
So buy some IC's in that region of your malfunctioning circuit, F2,F3,G2 & G3 so you have them on hand to try out.
When you get more experienced you will be able to fault find these sorts of circuits with a scope and you will get to the bottom of where the fault resides more quickly with less uncertainties. Also, it pays to look up the function of each IC in the data book so you can be sure to know how it is expected to behave and what all its inputs and outputs do.