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When you planeswalk to Littjara and at the beginning of your upkeep, create a 2/2 blue Shapeshifter creature token with changeling. (It is every creature type.)
Whenever chaos ensues, choose a creature type. Put a +1/+1 counter on each creature you control of that type.
If an effect causes a creature with changeling to lose all abilities, it will remain all creature types, even though it will no longer have changeling. This is because changeling applies before the effect that removes it.