2. I disagreed with your statements.
3. By definition, your statements are "claims."
4. You said, I make no claims.
5. You said, "Actually, no. I made no mistakes at all."
6. You err. You are incorrect. You made mistakes. You have been wrong (and on many of more of your claims as well). You failed.
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¡no más!
You may as well put whatever response you might think up in the bit bucket. You've already proved yourself.
I made no claims. Everything I said was absolutely true. Whether or not you believe it is irrelevant. I made no mistakes - not even one. Nothing you say will change that fact.