(certificate manager): cannot use cross-region certificate, cannot get custom domain URL

Two issues I had trying to set up a custom domain mapping for my ApiGwV2 HttpApi.

1. I cannot use a DNS-validated cross-region certificate from us-east-1 in a different stack. I get #9608. Because I have a certificate for CloudFront and also my HttpApi it means I need to create two Certificates, one from us-east-1 and one in my current region, even though the docs strongly suggest that I can use my us-east-1 cert in another region.

    const hostedZone = HostedZone.fromLookup(this, "Zone", {
      domainName: hostedZoneDomain,
    })

    const certificate = new DnsValidatedCertificate(this, "RegionCertificate", {
      domainName: hostedZoneDomain,
      hostedZone,
      // region: "us-east-1",  <---- I want to use this so I can re-use this with my CloudFront dist
    })

1. I cannot figure out how to get the URL with custom domain and base path

    const httpApi = new HttpApi(this, `Api${appName}`, {
      apiName: this.stackName,
      defaultDomainMapping: {
        domainName,
        mappingKey: envName,
      },
    })
    new CfnOutput(this, "ApiBase", { value: httpApi.defaultStage?.url || "unknown" }) // <--- tried httpApi.url too

This just gives me the boring old execute-api URL, not https://foo.com/dev that I want. How can I get a stack output with the custom domain URL?

Environment

• **CDK CLI Version :1.110.0
• Framework Version:
• Node.js Version: 14
• OS :
• Language (Version):

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This is 🐛 Bug Report

[nija-at]

I’ve opened a feature request for your second request here - https://github.com/aws/aws-cdk/issues/15801

[github-actions[bot]]

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