AWS API Gateway CORS from Swagger - amazon-web-services

Question

I am importing a Swagger file into a Terraform created AWS API Gateway deployment, and everything seems to work fine apart from enabling CORS. Once I have finished deploying, then I always receive the 403 CORS error from any endpoint. I have to manually then go through an enable CORS within the AWS console.
I import the swagger file via the AWS CLI like this;
aws apigateway put-rest-api \
--body file://swagger.json \
--mode overwrite \
--rest-api-id ${REST_API_ID}
The swagger file uses the below to map the correct headers;
"x-amazon-apigateway-integration": {
"responses": {
"2\\d{2}": {
"statusCode": "200",
"responseParameters": {
"method.response.header.Access-Control-Allow-Headers" : "'Content-Type,X-Amz-Date,Authorization,X-Api-Key,X-Amz-Security-Token,X-Correlation-ID'",
"method.response.header.Access-Control-Allow-Methods" : "'*'",
"method.response.header.Access-Control-Allow-Origin": "'*'"
}
}
}
}
This maps to response codes within the top level Swagger file;
"responses": {
"200": {
"description": "Succesfully created Report",
"headers": {
"Access-Control-Allow-Origin": {
"type": "string"
},
"Access-Control-Allow-Headers": {
"type": "string"
},
"Access-Control-Allow-Methods": {
"type": "string"
}
}
}
}
Despite doing this, I still get CORS erros straight after importing the Swagger file.
Is there anything I am missing here?