Good day Chaoticoli
Do not feel ashamed of yourself for not possessing arguing ability. It always starts like that, but by practising, you end-up improving. It is alway a normal reaction.
Arguing and/or presenting sound argument is not an easy task. And the majority of people think they possess this skill while they actually clouded by ill-considered thinking.
The most important thing to know when you are critically arguing with a person is to establish their point of departure so-called "conclusion" or "claim", then try to understand their premises toward such claim(s). There are many ways to establish a claim and premise as you follows one's argument. It does not end there, however. But for today, I will end here. We will proceed next time, and also give you examples in order to understand it more clearly. It is a very complex thing, we can't finish in one day.