AWS API Gateway集成CloudWatch的正确服务名称是什么？CDK配置求助

我正尝试使用AWS CDK/CloudFormation创建与CloudWatch集成的AWS API Gateway，但遇到错误提示"不支持cloudwatch类型的AWS服务"。使用CloudWatch Logs时可正常工作，但仅集成CloudWatch时失败。

原代码示例：

new AwsIntegrationProps
{
    Region = copilotFoundationalInfrastructure.Region,
    Options = new IntegrationOptions {
        PassthroughBehavior = PassthroughBehavior.WHEN_NO_TEMPLATES,
        CredentialsRole = Role.FromRoleArn(this,"CloudWatchAccessRole", "arn:aws:iam::800524210815:role/APIGatewayCloudWatchRole"),
        RequestParameters = new Dictionary<string, string>()
        {
            { "integration.request.header.Content-Encoding", "'amz-1.0'" },
            { "integration.request.header.Content-Type", "'application/json'" },
            { "integration.request.header.X-Amz-Target", "'GraniteServiceVersion20100801.PutMetricData'" },  
        },
    },
    IntegrationHttpMethod = "POST",
    Service = "cloudwatch", // 该值在s3和logs场景下正常工作
    Action = "PutMetricData"
}

请问调用PutMetricData时，CloudWatch对应的正确Service参数值是什么？

待修正代码：

new AwsIntegrationProps
{
    Region = copilotFoundationalInfrastructure.Region,
    Options = new IntegrationOptions {
        PassthroughBehavior = PassthroughBehavior.WHEN_NO_TEMPLATES,
        CredentialsRole = Role.FromRoleArn(this,"CloudWatchAccessRole", "arn:aws:iam::800524210815:role/APIGatewayCloudWatchRole"),
        RequestParameters = new Dictionary<string, string>() 
        { 
            { "integration.request.header.Content-Encoding", "'amz-1.0'" },
            { "integration.request.header.Content-Type", "'application/json'" },
            { "integration.request.header.X-Amz-Target", "'GraniteServiceVersion20100801.PutMetricData'" },    
        },
    },
    IntegrationHttpMethod = "POST",
    Service = "", // CloudWatch对应的正确值是什么？
    Action = "PutMetricData"
}

调用CloudWatch的PutMetricData接口时，正确的Service参数值是monitoring，而非cloudwatch。

API Gateway的AWS集成对不同AWS服务使用特定的标识符：

• CloudWatch核心监控服务对应的标识符是monitoring
• CloudWatch Logs对应的标识符是logs

修正后的代码示例：

new AwsIntegrationProps
{
    Region = copilotFoundationalInfrastructure.Region,
    Options = new IntegrationOptions {
        PassthroughBehavior = PassthroughBehavior.WHEN_NO_TEMPLATES,
        CredentialsRole = Role.FromRoleArn(this,"CloudWatchAccessRole", "arn:aws:iam::800524210815:role/APIGatewayCloudWatchRole"),
        RequestParameters = new Dictionary<string, string>() 
        { 
            { "integration.request.header.Content-Encoding", "'amz-1.0'" },
            { "integration.request.header.Content-Type", "'application/json'" },
            { "integration.request.header.X-Amz-Target", "'GraniteServiceVersion20100801.PutMetricData'" },    
        },
    },
    IntegrationHttpMethod = "POST",
    Service = "monitoring", // 正确的CloudWatch服务标识符
    Action = "PutMetricData"
}

内容的提问来源于stack exchange，提问作者Shripati Ukirde