Promote Canary Release for AWS API Gateway using SAM or CloudFormation

Question

I am using AWS SAM(Serverless Application Model) to define a API. The part that defines API Gateway is as follow:

...
TestApiGateway:
    Type: AWS::Serverless::Api
    Properties:
      Name: test-api
      StageName: Prod

  TestApiGatewayDeployment:
    Type: AWS::ApiGateway::Deployment
    Properties: 
      DeploymentCanarySettings: 
        PercentTraffic: 30
      Description: Canary deployment settings for API Gateway
      RestApiId: !Ref TestApiGateway
      StageName: Prod
...

As you can see, I am trying to do Canary Release for the API Gateway. It worked as expected. But after Canary Release testing, I would like to promote the Canary Release to the production stage.

I have tried to set PercentTraffic to 0

...
DeploymentCanarySettings: 
        PercentTraffic: 0
...

But it doesn't promote the canary release. And I also tried to set the deployment id in AWS::Serverless::Api as the canary deployment id.

TestApiGateway:
    Type: AWS::Serverless::Api
    Properties:
      Name: test-api
      StageName: Prod
      CanarySetting:
        DeploymentId: <the canary deployment id>

It still didn't change the deployment to canary deployment.

My question is what I need to do in SAM template or Cloudformation that can promote the release? Thanks!