One thing to consider: you feel like not being able to reply means the other person “won.” You didn’t mention the context of the discussion, but I find that approaching most conversations like that (win/lose), you’re already too involved. Conversations, debates, etc. are ways we exchange thoughts and ideas. Winning vs losing implies you think you are right and the other person is wrong. If that’s the case, why bother with the convo at all?
The likelihood that you will convince the other pererson they are wrong is very low, especially when you approach it thinking they are wrong. Instead, approach it trying to learn the ins and outs of their argument. Ask questions that make the person really think about their position. People change their own minds. You can’t force them or do it for them.