Bitsįʼ means "its meat."
So naʼahóóhai is the thing that lays eggs for you, and naʼahóóhai bitsįʼ is what you just cooked.
It's like the difference between pig and pork, or cow and beef.
Naʼahóóhai bitsįʼ is literally "chicken meat."
You might like this link: https://navajowotd.com/word/beegashii-bitsi/