Is there any significance of CORESET0-Search Space 0 in NSA?

Hi Experts,
Is there any significance of CORESET0-Search Space 0 in NSA?

CORESET might be either common or dedicated
CORESET0 is specific use case of Common Coreset, where SIB 1 message is broadcasted.

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Each searchSpace doesn’t matter if common or UE specific … has a group/multiple of uEs that just belong to same Aggregation Level … right?

means different uEs with different aggregation levels will be belonged to different searchSpaces.