Aurora Serverless v2: question about local storage

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Could someone from the AWS team please confirm if the local storage scales with the ACUs?

We are having issues with the provisioned RDS instance, where we often get:

Query 1 ERROR: ERROR: could not write to file "base/pgsql_tmp/pgsql_tmp6356.12": No space left on device

Wondering if v2 serverless would fix this for us.