CDK HTTP-API to EventBridge

import * as sst from '@serverless-stack/resources'
import * as iam from '@aws-cdk/aws-iam'
import * as apigw from '@aws-cdk/aws-apigatewayv2'

export default class MyStack extends sst.Stack {
  constructor(scope: sst.App, id: string, props?: sst.StackProps) {
    super(scope, id, props)

    const { account, region } = scope

    // Create a HTTP API
    const api = new sst.Api(this, 'Api', {
      defaultFunctionProps: {
        timeout: 20,
      },
      routes: {
        'GET /callback': 'src/lambda.callback',
        'GET /install': 'src/lambda.install',
      },
    })

    const serviceRole = new iam.Role(this, 'service-role', {
      assumedBy: new iam.ServicePrincipal('apigateway.amazonaws.com'),
      inlinePolicies: {
        AllowAPIGServiceToAssumeRole: new iam.PolicyDocument({
          statements: [
            new iam.PolicyStatement({
              actions: ['events:PutEvents'],
              effect: iam.Effect.ALLOW,
              resources: [`arn:aws:events:${region}:${account}:event-bus/default`],
            }),
          ],
        }),
      },
    })

    const integ = new apigw.CfnIntegration(this, 'Integ', {
      apiId: api.httpApi.httpApiId,
      integrationType: 'AWS_PROXY',
      integrationSubtype: 'EventBridge-PutEvents',
      credentialsArn: serviceRole.roleArn,
      requestParameters: {
        Source: 'Gateway',
        Detail: '$request.body',
        DetailType: 'api-call',
        // EventBusName: eventBus.eventBusArn,
      },
      payloadFormatVersion: '1.0',
      timeoutInMillis: 10000,
    })
    new apigw.CfnRoute(this, 'DefaultRoute', {
      apiId: api.httpApi.httpApiId,
      routeKey: 'ANY /webhook',
      target: `integrations/${integ.ref}`,
    })

    // Show the endpoint in the output
    this.addOutputs({
      ApiEndpoint: api.url,
    })
  }
}