Great argument! Let me try.

Yes it does.

Did it do it right?

Parent didn’t provide an argument and the burden of proof is on them.

You can and should do better than them, not descend to their level. It's obvious to any reader that the parent was just making a bold assertion.

How do you prove that something is false if you weren't given a reason why it should be true in the first place?

By saying what you just said. It's already better than saying "No u".