The only reason I'm saying Ambiguity must be a unique state of being is because there has been no other explanation for what exactly the Initial Flame is.
It's clearly not existence, since it made the concept, and it's also clearly not non-existence, since it created Chaos, which represents stuff like void. It can't be both, or neither, existence or non-existence, since those two non-dualities are considered to be a part of the Void, which predates the Initial Flame.
At the same time, the Initial Flame exists on a deeper level than the Void, so in my opinion, the only state it can be in, is a 3rd state. And the only 3rd state ever mentioned alongside Existence and Non-Existence is Ambiguity.