Who decides what the next, correct Nonce is?

Who decides what the next, correct Nonce is?

As I understand finding the correct Nonce is the basis when hashing transactions for Proof of Work.

How and where is this decided in the ecosystem what the next Nonce is?

In my limited understanding this part needs to be centralized somehow, that every node is searching for the same, correct one. At the same time this might be an important security aspect.

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