Which Alice?

Tweedledum or Tweedledee?
statements:
ROUND FIVE
This time the brothers made the following
FIRST ONE: At least one of our cards is purple.
SECOND ONE: That is true.
FIRST ONE: I am Tweedledum.
Who is who?
ROUND SIX "Now for this round," said one of the brothers,
"the rules are the same, but the question you are to answer is
different: Instead of telling us which one is Tweedledee and which
one is Tweedledum, you are to figure out which one is lying and
which one is telling the truth."
Both brothers went into the house, and when they came out, they
made the following statements:
FIRST ONE: Our cards are of the same color.
SECOND ONE: Our cards are not of the same color.
Which one was telling the truth?
Game III: Two Extra-Specials
Both brothers congratulated Alice warmly for having won every
round.
"Before you leave," Tweedledee said with a grin, "we have two
extra-specials for you! We will play two extra games, one round
each, only the games will now be in sign language. We won't use
colored cards this time. What we'll do is this: We will both go into
the house, and one of us will come out first. The second one will
come out soon after, carrying a large sign with a question written on
it which both the first brother and you will be able to read clearly.
Then the first brother will answer the question in sign language: He
81