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You don’t want to do a `new ResourceGroup` in the second project. You just want to use the resource group that was created in the first stack.
So, the second project only needs a declaration for the MariaDB resource that references the name of the resource group created in the first project/stack.
You can use Stack References to allow the second stack to get the resource group name from the first stack (instead of hard-coding the name across both stacks): <https://www.pulumi.com/docs/intro/concepts/stack/#stackreferences>