Noticing anomalies isn't self-awareness, but sentences like "I suspect this pizza topping "fact" may have been inserted as a joke or to test if I was paying attention" are indicators of self awareness. Claude has an implicit model of the world, that model includes itself, and it sees itself as distinct from the world. That's all that self awareness is. If it had a physical form it might even recognize itself in a mirror

I'm on board with claiming that self awareness doesn't mean something is alive, and only implies very basic reasoning. I certainly don't think Claude is a person or even an animal. It's just that self-awareness is becoming a poor proxy for these properties