Should She Say Half?

There is a feud among philosophers of people who think that it's 50-50 odds. So halfers versus thirders, and they hate each other. But anyway, so should she say half? It's half because the coin is fair. Then the thirder say, no, she does have new information because think of it. She's woken up. If she were woken up, you know, a hundred times, then it's more likely it would be the tails. Anyway, it is mind blowing. What was your take on it? I think mine matched yours.