The details from this excerpt provide evidence that Alice does not really understand the rules and logic of the mirror world.
Throughout the conversation, Alice firmly believes she is real and that her existence is independent of the Red King's dream. However, Tweedledee and Tweedledum present a different perspective, highlighting that she is merely a creation of the King's dream. This exchange underscores Alice's confusion and lack of comprehension regarding her place within the dreamlike reality of the looking-glass world.