Mooji's stories are often meaningless if you are not already looking for and expecting deep meaning in them.
Take the two birds story example. The two birds bit kind of makes sense, so presumably that's the bit he got from someone else. The "third bird that's not really a bird" is a total deepity:
If anyone claims to understand the third bird, a fourth bird will no doubt appear. Ahhh!
What intrigues me is whether this third bird would care if the first bird and second bird had a fistfight.