Correct Answer: CTo design the API Gateway URL with the company's domain name and corresponding certificate so that third-party services can use HTTPS, the correct approach involves several steps. First, creating a Regional API Gateway endpoint allows the gateway to serve traffic within a specific AWS region. Next, the API Gateway endpoint must be associated with the company's domain name to ensure that the custom domain can be used. The public certificate associated with the company's domain name needs to be imported into AWS Certificate Manager (ACM) in the same region as the API Gateway. This step ensures that the certificate is available in the correct region for use with the API Gateway. Attaching the certificate to the API Gateway endpoint enables HTTPS for the custom domain. Lastly, Route 53 should be configured to route traffic to the API Gateway endpoint, completing the process of using the company's domain name and HTTPS for secure communication. This comprehensive solution meets all the requirements outlined in the question.