Helene argued with your statement that she should not have been able to show them the weave, due to the oath about weapons. You argued this point for a short while.

Then suddenly, you were claiming "uhm, but I said that we didn't have to see Elaida or an Aes Sedai do it."

well, yes, you did, but that has no bearing on the argument being made. It's a red herring. It has nothing to do with whether she or any other Aes Sedai was able to do so. This is a matter of world magic mechanics, where as the point that we didn't need to see them do it is a matter of plot development mechanics. Your point that it was probably just so we saw what happened to Elaida is quite valid and likely. It just has nothing to do with whether she was able to show them how to make a gateway.

So either you merely do not know how to argue, or you do not have the ability to comprehend what you read.