I’m genuinely curious here, why is learning to identify logical fallacy at the point of conversation that important to you? Just research yourself afterwards, otherwise how would you know what is wrong unless you have already decided or learnt it is wrong to begin with. In my opinion, it is not that important unless you are engaged in professional persuasion or your opinion at the very moment holds a lot of weight. You could maybe identify inconsistency or twist their words until they contradict themselves? Otherwise, the best approach if you are not sure is to find out later. At the end of the day what matters to me most is my opinion, I do not care if I disagree with the person I am interacting with, or if the person disagrees with me. Maybe cause I’m not a politician. ;-)