@Override
    public List<ApiGatewayConfig.ApiType> getApiTypes() {
        return ListUtils.of(ApiGatewayConfig.ApiType.REST);
    }
Adds CORS headers to REST integrations.

<p>If the service is a REST API that has the {@link CorsTrait}, then
integration responses will include a statically computed
Access-Control-Expose-Headers CORS headers that contains every header
exposed by the integration, and Access-Control-Allow-Credentials header
if the operation uses a security scheme that needs it, and
Access-Control-Allow-Origin header that is the result of
{@link CorsTrait#getOrigin()}.
smithy-aws-apigateway-openapi/src/main/java/software/amazon/smithy/aws/apigateway/openapi/AddCorsToRestIntegrations.java