You just have to read them like flash cards. Careful not to get caught in the fallacy fallacy though. A fallacious argument doesn’t mean someone is wrong, it just means they suck at arguing.
Logical fallacies and calling them out are just a tool in the tool box. They’re really only useful though when someone is being maliciously fallicious or their entire evidence base hangs on a fallacy. But even then, they may still be correct.
A good example is “the standard model is true because the pope said so.” This is an appeal to authority fallacy, but the stance that “the standard model is true” is correct anyway.