Hat Confusion!

Logic Level 1

Alice, Barry, and Celia are each assigned a \(\color{blue}{\text{blue}}\) or \(\color{red}{\text{red}}\) hat. They can see each other's hats, but not their own, and they know there is at least one blue hat.

Alice says, "I don't know the color of my hat."
Then, Barry says, "I don't know the color of my hat."

What color is Celia's hat?

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