In 4 would be a reasonable expectation with what you had. Your 1st 3 were very good guesses, particularly with how each gained more. After all, there were about 20 possible after line 1 so that you chose differently is expected. That both Moishe and I chose right is VERY surprising!

But I'm surprised that you used POUTY. What letter(s) were you looking for to go with the 4 that you had? I can't see it, so that's why I'm asking. I like to see people's reasoning in their guesses. I find that interesting.