Bug: CORS headers not appending to API Gateway REST API responses about powertools-lambda-python HOT 7 CLOSED

AWSTemplateFormatVersion: "2010-09-09"
Transform: AWS::Serverless-2016-10-31
Description: >
    Complete infra to reproduce lack of CORS headers in #3849

Globals:
    Function:
        Timeout: 60
        MemorySize: 512
        Tracing: Active
        Runtime: python3.11
        Architectures:
            - x86_64
        Environment:
            Variables:
                POWERTOOLS_METRICS_NAMESPACE: TodoApp
                LOG_LEVEL: INFO
                TZ: "Europe/Amsterdam"
    Api:
        TracingEnabled: true
        Cors: # see CORS section: https://docs.powertools.aws.dev/lambda/python/latest/core/event_handler/api_gateway/#cors
            AllowOrigin: "'*'"
            AllowHeaders: "'Content-Type,Authorization,X-Amz-Date'"
            MaxAge: "'5'"

Resources:
    #####################################################
    # API Todos
    #
    # Flow: API Gateway -> Lambda
    #           |
    #           v
    #        /todos -> Lambda
    #
    #####################################################

    GetTodosFunction:
        Type: AWS::Serverless::Function # More info about Function Resource: https://docs.aws.amazon.com/serverless-application-model/latest/developerguide/sam-resource-function.html
        Properties:
            Handler: app.lambda_handler
            CodeUri: todo_api
            Events:
                HelloPath:
                    Type: Api
                    Properties:
                        Path: /todos
                        Method: GET
                TodoById:
                    Type: Api
                    Properties:
                        Path: /todos/{todo_id}
                        Method: GET
                CreateTodo:
                    Type: Api
                    Properties:
                        Path: /todos
                        Method: POST
                SwaggerUI:
                    Type: Api
                    Properties:
                        Path: /swagger
                        Method: GET
                SwaggerUICSS:
                    Type: Api
                    Properties:
                        Path: /swagger.css
                        Method: GET
                SwaggerUIJS:
                    Type: Api
                    Properties:
                        Path: /swagger.js
                        Method: GET
                # Powertools env vars: https://awslabs.github.io/aws-lambda-powertools-python/#environment-variables
            Environment:
                Variables:
                    POWERTOOLS_SERVICE_NAME: TodoAPI
                    # POWERTOOLS_DEV: true


Outputs:
    GetTodosFunction:
        Description: "Hello World Lambda Function ARN"
        Value: !GetAtt GetTodosFunction.Arn

    TodoEndpoint:
        Description: "API Gateway endpoint URL for Prod environment for Todos"
        Value: !Sub "https://${ServerlessRestApi}.execute-api.${AWS::Region}.amazonaws.com/Prod"

    GetTodosAPI:
        Description: "API Gateway endpoint URL to fetch todos"
        Value: !Sub "https://${ServerlessRestApi}.execute-api.${AWS::Region}.amazonaws.com/Prod/todos"