Feature Request: Cognito authorizer is not found when running sam local api

### Description:
I have an API Gateway whose default authorizer is Cognito, except for an endpoint (in this example /hello [GET]). I want to be able to test the API Gateway using Postman and get the whole AWS Lambda flow, in order to have the best developer experience as if I were in the cloud.
However, endpoints seem to not be protected, even though I have set it properly. It indeed works in the cloud, and the template for this is the one below.

### Steps to reproduce:
This is a part of my `template.yml`
```
Api:
Type: AWS::Serverless::Api
Properties:
StageName: dev
Cors:
AllowMethods: "'GET,POST,OPTIONS,DELETE,PUT,PATCH'"
AllowHeaders: "'Content-Type,X-Amz-Date,Authorization,X-Api-Key,X-Amz-Security-Token'"
AllowOrigin: "'*'"
Auth:
DefaultAuthorizer: CognitoAuthorizer
AddDefaultAuthorizerToCorsPreflight: false
Authorizers:
CognitoAuthorizer:
UserPoolArn: !GetAtt UserPool.Arn

# Lambda functions
# Hello World function
# NOT protected method (i.e., endpoint is public)
HelloWorld:
Type: AWS::Serverless::Function
BuildMethod: nodejs18.x
Properties:
FunctionName: "helloWorld"
Handler: ./dist/functions/api-gateway/hello-world/handler.handler
CodeUri: .
Runtime: nodejs18.x
Events:
Submit:
Type: Api
Properties:
Path: /hello
Method: get
RestApiId: !Ref Api
Auth:
Authorizer: NONE

# Print the context
# Protected method
PrintRequestContext:
Type: AWS::Serverless::Function
BuildMethod: nodejs18.x
Properties:
FunctionName: "printContext"
Handler: ./dist/functions/api-gateway/print-request-context/handler.handler
CodeUri: .
Runtime: nodejs18.x
Events:
Submit:
Type: Api
Properties:
Path: /info
Method: get
RestApiId: !Ref Api
```

### Observed result:
The output for the command `sam local start-api --env-vars local.json -p 3001 --debug`

```
2023-05-08 12:58:50,557 | Config file location: /home/andrea/authentication-template/backend/samconfig.toml
2023-05-08 12:58:50,557 | Config file '/home/andrea/authentication-template/backend/samconfig.toml' does not exist
2023-05-08 12:58:50,627 | Using SAM Template at /home/andrea/authentication-template/backend/template.yml
2023-05-08 12:58:50,683 | Using config file: samconfig.toml, config environment: default
2023-05-08 12:58:50,683 | Expand command line arguments to:
2023-05-08 12:58:50,683 | --template_file=/home/andrea/authentication-template/backend/template.yml --env_vars=local.json --port=3001 --host=127.0.0.1 --static_dir=public --layer_cache_basedir=/home/andrea/.aws-sam/layers-pkg --container_host=localhost --container_host_interface=127.0.0.1
2023-05-08 12:58:50,802 | local start-api command is called
2023-05-08 12:58:50,873 | No Parameters detected in the template
2023-05-08 12:58:50,915 | There is no customer defined id or cdk path defined for resource Api, so we will use the resource logical id as the resource id
2023-05-08 12:58:50,915 | There is no customer defined id or cdk path defined for resource HelloWorld, so we will use the resource logical id as the resource id
2023-05-08 12:58:50,915 | There is no customer defined id or cdk path defined for resource PrintRequestContext, so we will use the resource logical id as the resource id
2023-05-08 12:58:50,922 | 0 stacks found in the template
2023-05-08 12:58:50,922 | No Parameters detected in the template
2023-05-08 12:58:50,968 | There is no customer defined id or cdk path defined for resource Api, so we will use the resource logical id as the resource id
2023-05-08 12:58:50,968 | There is no customer defined id or cdk path defined for resource HelloWorld, so we will use the resource logical id as the resource id
2023-05-08 12:58:50,968 | There is no customer defined id or cdk path defined for resource PrintRequestContext, so we will use the resource logical id as the resource id
2023-05-08 12:58:50,981 | 25 resources found in the stack
2023-05-08 12:58:50,981 | Found Serverless function with name='HelloWorld' and CodeUri='.'
2023-05-08 12:58:50,981 | --base-dir is not presented, adjusting uri . relative to /home/andrea/authentication-template/backend/template.yml
2023-05-08 12:58:50,981 | Found Serverless function with name='PrintRequestContext' and CodeUri='.'
2023-05-08 12:58:50,981 | --base-dir is not presented, adjusting uri . relative to /home/andrea/authentication-template/backend/template.yml
2023-05-08 12:58:50,985 | --base-dir is not presented, adjusting uri . relative to /home/andrea/authentication-template/backend/template.yml
2023-05-08 12:58:50,996 | Detected Inline Swagger definition
2023-05-08 12:58:50,997 | Parsing Swagger document using 2.0 specification
2023-05-08 12:58:50,997 | Lambda function integration not found in Swagger document at path='/hello' method='get'
2023-05-08 12:58:50,997 | Lambda function integration not found in Swagger document at path='/info' method='get'
2023-05-08 12:58:50,998 | Found '0' APIs in resource 'Api'
2023-05-08 12:58:50,998 | Found '0' authorizers in resource 'Api'
2023-05-08 12:58:50,998 | Authorizer 'CognitoAuthorizer' is currently unsupported (must be a Lambda Authorizer), skipping
2023-05-08 12:58:50,998 | Found '1' API Events in Serverless function with name 'HelloWorld'
2023-05-08 12:58:50,999 | Found '1' API Events in Serverless function with name 'PrintRequestContext'
2023-05-08 12:58:51,001 | Removed duplicates from '12' Explicit APIs and '0' Implicit APIs to produce '12' APIs
2023-05-08 12:58:51,002 | Linking authorizer skipped, route '/hello' is set to not use any authorizer.
2023-05-08 12:58:51,002 | Linking authorizer skipped for route '/info', authorizer 'None' is unsupported or not found
2023-05-08 12:58:51,004 | 12 APIs found in the template
2023-05-08 12:58:51,046 | Mounting PrintRequestContext at http://127.0.0.1:3001/info [GET, OPTIONS]
2023-05-08 12:58:51,047 | Mounting HelloWorld at http://127.0.0.1:3001/hello [GET, OPTIONS]
2023-05-08 12:58:51,047 | You can now browse to the above endpoints to invoke your functions. You do not need to restart/reload SAM CLI while working on your functions, changes will be reflected instantly/automatically. If you used sam build before running local commands, you will need to re-run sam build for the changes to be picked up. You only need to restart SAM CLI if you update your AWS SAM template
2023-05-08 12:58:51,047 | Localhost server is starting up. Multi-threading = True
* Tip: There are .env or .flaskenv files present. Do "pip install python-dotenv" to use them.
2023-05-08 12:58:51 WARNING: This is a development server. Do not use it in a production deployment. Use a production WSGI server instead.
* Running on http://127.0.0.1:3001
2023-05-08 12:58:51 Press CTRL+C to quit

```

### Expected result:
I would expect that only the `/hello` endpoint could be triggered without any authorizer, whereas the `/info` should have in the header some sort of token as I would do if it were deployed.

### Additional environment details

```
{
"version": "1.82.0",
"system": {
"python": "3.7.10",
"os": "Linux-5.15.90.1-microsoft-standard-WSL2-x86_64-with-debian-bullseye-sid"
},
"additional_dependencies": {
"docker_engine": "23.0.5",
"aws_cdk": "Not available",
"terraform": "Not available"
}
}
```