How do I integrate third-party services with AWS API Gateway?

import * as pulumi from "@pulumi/pulumi";
import * as aws from "@pulumi/aws";

// Create an API Gateway REST API
const api = new aws.apigateway.RestApi("myApi", {
    description: "API to integrate with third-party service",
});

// Create a resource in the API
const resource = new aws.apigateway.Resource("myResource", {
    restApi: api.id,
    parentId: api.rootResourceId,
    pathPart: "myresource",
});

// Create a method for the resource
const method = new aws.apigateway.Method("myMethod", {
    restApi: api.id,
    resourceId: resource.id,
    httpMethod: "GET",
    authorization: "NONE",
});

// Create an integration with a third-party service
const integration = new aws.apigateway.Integration("myIntegration", {
    restApi: api.id,
    resourceId: resource.id,
    httpMethod: method.httpMethod,
    type: "HTTP",
    uri: "https://third-party-service.com/endpoint",
    integrationHttpMethod: "GET",
});

// Deploy the API
const deployment = new aws.apigateway.Deployment("myDeployment", {
    restApi: api.id,
    stageName: "dev",
}, { dependsOn: [integration] });

// Export the API URL
export const apiUrl = pulumi.interpolate`${deployment.invokeUrl}${resource.pathPart}`;