How do I use Karpenter with Google Kubernetes Engine and Config Connector?

import * as pulumi from "@pulumi/pulumi";
import * as gcp from "@pulumi/gcp";
import * as k8s from "@pulumi/kubernetes";

// Create a GKE cluster
const cluster = new gcp.container.Cluster("my-gke-cluster", {
    initialNodeCount: 1,
    minMasterVersion: "1.21",
    nodeVersion: "1.21",
    nodeConfig: {
        machineType: "e2-medium",
        oauthScopes: ["https://www.googleapis.com/auth/cloud-platform"],
    },
});

// Export the cluster's kubeconfig
export const kubeconfig = pulumi.
    all([cluster.name, cluster.endpoint, cluster.masterAuth])
    .apply(([name, endpoint, auth]) => {
        const context = `${gcp.config.project}_${gcp.config.zone}_${name}`;
        return `apiVersion: v1
clusters:
- cluster:
    certificate-authority-data: ${auth.clusterCaCertificate}
    server: https://${endpoint}
  name: ${context}
contexts:
- context:
    cluster: ${context}
    user: ${context}
  name: ${context}
current-context: ${context}
kind: Config
preferences: {}
users:
- name: ${context}
  user:
    auth-provider:
      config:
        cmd-args: config config-helper --format=json
        cmd-path: gcloud
        expiry-key: '{.credential.token_expiry}'
        token-key: '{.credential.access_token}'
      name: gcp
`;
    });

// Create a Kubernetes provider instance using the kubeconfig
const k8sProvider = new k8s.Provider("gkeK8s", {
    kubeconfig: kubeconfig,
});

// Install Config Connector
const configConnector = new k8s.helm.v3.Chart("config-connector", {
    chart: "configconnector-operator",
    version: "1.46.0",
    fetchOpts: {
        repo: "https://storage.googleapis.com/cnrm/charts",
    },
}, { provider: k8sProvider });

// Deploy Karpenter
const karpenterNamespace = new k8s.core.v1.Namespace("karpenter", {}, { provider: k8sProvider });

const karpenterServiceAccount = new k8s.core.v1.ServiceAccount("karpenter-sa", {
    metadata: {
        namespace: karpenterNamespace.metadata.name,
        annotations: {
            "iam.gke.io/gcp-service-account": "karpenter@my-project.iam.gserviceaccount.com",
        },
    },
}, { provider: k8sProvider });

const karpenterController = new k8s.helm.v3.Chart("karpenter", {
    chart: "karpenter",
    version: "0.5.0",
    fetchOpts: {
        repo: "https://charts.karpenter.sh",
    },
    values: {
        serviceAccount: {
            create: false,
            name: karpenterServiceAccount.metadata.name,
        },
        controller: {
            clusterName: cluster.name,
            clusterEndpoint: cluster.endpoint,
        },
    },
}, { provider: k8sProvider });

export const clusterName = cluster.name;
export const clusterEndpoint = cluster.endpoint;