cloud formation for CloudFront in front of API Gateway

cloudFormationResource.json

{
      "Type": "AWS::CloudFront::Distribution",
      "Properties": {
        "DistributionConfig": {
          "Origins": [
            {
              "Id": "pushchansearch",
              "DomainName": "myapig.execute-api.us-east-1.amazonaws.com",
              "CustomOriginConfig": {
                "HTTPPort": "80",
                "HTTPSPort": "443",
                "OriginProtocolPolicy": "match-viewer"
              },
              "OriginPath": {
                "Fn::Join": [
                  "",
                  [
                    "/",
                    {
                      "Ref": "aaStage"
                    }
                  ]
                ]
              }
            }
          ],
          "Enabled": true,
          "Comment": "Push channel search",
          "PriceClass": "PriceClass_100",
          "DefaultCacheBehavior": {
            "AllowedMethods": [
              "GET",
              "HEAD",
              "OPTIONS"
            ],
            "CachedMethods": [
              "HEAD",
              "GET"
            ],
            "ForwardedValues": {
              "QueryString": true,
              "Headers": [],
              "Cookies": {
                "Forward": "none"
              }
            },
            "MinTTL": "0",
            "TargetOriginId": "pushchansearch",
            "ViewerProtocolPolicy": "https-only"
          },
          "CustomErrorResponses": [
          ]
        }
      }
    }