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you don't use an organization in this case, but you will need to name your stacks a little differently. Generally we advise naming your parent stack something like

vpc.production

and then referencing it with

const vpc = new pulumi.StackReference('vpc.production')

Thanks, I'll have to do some testing, but it sounds like the name is just the name, or reference, of a stack and that the Pulumi console is arbitrarily using stack names in the documented format. So whatever names I'm using for my stacks would suffice.