该错误可能是由于在CDK堆栈中指定的API标识符与您AWS帐户中的API标识符不匹配引起的。您可能需要更新CDK堆栈以使用正确的API标识符。以下是一个示例，展示了如何在CDK堆栈中更改API标识符：

const apiGateway = new apigw.RestApi(this, "MyApi", {
  restApiName: "My API",
  description: "This is my API"
});

// Change the API identifier to match the one in your AWS account
const deployment = new apigw.Deployment(this, "Deployment", {
  api: apiGateway,
  description: "Initial deployment"
});

const stage = new apigw.Stage(this, "Stage", {
  deployment: deployment,
  stageName: "prod"
});

在上面的示例中，您可以更改apiGateway对象中的API标识符字段以匹配您AWS帐户中的API标识符。重建并部署CDK堆栈应该可以解决此错误。