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It looks like you're using gcp so I can't be specific. But for AWS there's a

kubeconfig

parameter on the Cluster object. Assuming gcp is the same, after the cluster is created you

export

it. Then you can reference the

kubeconfig

in the stack. If you want it output in the same pulumi run, you'll have to have the export code run after pulumi finishes, e.g., something like this if you're using Typescript.

process.once('beforeExit', (code): void => {
    if (code == 0) {
        // export the kubeconfig
    }
});