fix(apigateway): allow overriding authorizer on methods (#30415)

### Issue # (if applicable)

Closes #8827.

### Reason for this change

Customers could not override the authorizer defined in the default method configuration if they want to set the authorization type to None.

### Description of changes

If the customer set the authorization type to None while creating a new method, we will not use the authorizer value defined in the default configuration and instead we will set it to undefined.

### Description of how you validated changes

added unit, and integration test cases.

### Checklist
- [X] My code adheres to the [CONTRIBUTING GUIDE](https://github.com/aws/aws-cdk/blob/main/CONTRIBUTING.md) and [DESIGN GUIDELINES](https://github.com/aws/aws-cdk/blob/main/docs/DESIGN_GUIDELINES.md)

----

*By submitting this pull request, I confirm that my contribution is made under the terms of the Apache-2.0 license*

Author: moelasmar

Diff for: packages/@aws-cdk-testing/framework-integ/test/aws-apigateway/test/authorizers/integ.api-with-overriding-default-authorizer.js.snapshot/apigatewaywithoverridingdefaultauthorizerDefaultTestDeployAssert5491B2D1.assets.json

@@ -0,0 +1,272 @@
+{
+ "Resources": {
+  "UserPool6BA7E5F2": {
+   "Type": "AWS::Cognito::UserPool",
+   "Properties": {
+    "AccountRecoverySetting": {
+     "RecoveryMechanisms": [
+      {
+       "Name": "verified_phone_number",
+       "Priority": 1
+      },
+      {
+       "Name": "verified_email",
+       "Priority": 2
+      }
+     ]
+    },
+    "AdminCreateUserConfig": {
+     "AllowAdminCreateUserOnly": false
+    },
+    "AutoVerifiedAttributes": [
+     "email"
+    ],
+    "EmailVerificationMessage": "The verification code to your new account is {####}",
+    "EmailVerificationSubject": "Verify your new account",
+    "SmsVerificationMessage": "The verification code to your new account is {####}",
+    "UsernameAttributes": [
+     "email"
+    ],
+    "VerificationMessageTemplate": {
+     "DefaultEmailOption": "CONFIRM_WITH_CODE",
+     "EmailMessage": "The verification code to your new account is {####}",
+     "EmailSubject": "Verify your new account",
+     "SmsMessage": "The verification code to your new account is {####}"
+    }
+   },
+   "UpdateReplacePolicy": "Retain",
+   "DeletionPolicy": "Retain"
+  },
+  "AuthorizerBD825682": {
+   "Type": "AWS::ApiGateway::Authorizer",
+   "Properties": {
+    "IdentitySource": "method.request.header.Authorization",
+    "Name": "integtestrestapiwithoverridingdefaultauthorizerAuthorizerF0743170",
+    "ProviderARNs": [
+     {
+      "Fn::GetAtt": [
+       "UserPool6BA7E5F2",
+       "Arn"
+      ]
+     }
+    ],
+    "RestApiId": {
+     "Ref": "ActionsApiGatewayF80386B7"
+    },
+    "Type": "COGNITO_USER_POOLS"
+   }
+  },
+  "ActionsApiGatewayF80386B7": {
+   "Type": "AWS::ApiGateway::RestApi",
+   "Properties": {
+    "Name": "Actions-ApiGateway"
+   }
+  },
+  "ActionsApiGatewayDeployment50B6E6A66403e42852ae63ad13a2b7635300f8a9": {
+   "Type": "AWS::ApiGateway::Deployment",
+   "Properties": {
+    "Description": "Automatically created by the RestApi construct",
+    "RestApiId": {
+     "Ref": "ActionsApiGatewayF80386B7"
+    }
+   },
+   "DependsOn": [
+    "ActionsApiGatewayANY11FE5E47",
+    "ActionsApiGatewayGET12E87C75",
+    "ActionsApiGatewayOPTIONS8EA1F997",
+    "AuthorizerBD825682"
+   ]
+  },
+  "ActionsApiGatewayDeploymentStageprod812022BF": {
+   "Type": "AWS::ApiGateway::Stage",
+   "Properties": {
+    "DeploymentId": {
+     "Ref": "ActionsApiGatewayDeployment50B6E6A66403e42852ae63ad13a2b7635300f8a9"
+    },
+    "RestApiId": {
+     "Ref": "ActionsApiGatewayF80386B7"
+    },
+    "StageName": "prod"
+   }
+  },
+  "ActionsApiGatewayOPTIONS8EA1F997": {
+   "Type": "AWS::ApiGateway::Method",
+   "Properties": {
+    "ApiKeyRequired": false,
+    "AuthorizationType": "NONE",
+    "HttpMethod": "OPTIONS",
+    "Integration": {
+     "IntegrationResponses": [
+      {
+       "ResponseParameters": {
+        "method.response.header.Access-Control-Allow-Headers": "'Content-Type,X-Amz-Date,Authorization,X-Api-Key,X-Amz-Security-Token,X-Amz-User-Agent'",
+        "method.response.header.Access-Control-Allow-Origin": "'*'",
+        "method.response.header.Access-Control-Allow-Methods": "'OPTIONS,GET,PUT,POST,DELETE,PATCH,HEAD'",
+        "method.response.header.Access-Control-Max-Age": "'864000'"
+       },
+       "StatusCode": "204"
+      }
+     ],
+     "RequestTemplates": {
+      "application/json": "{ statusCode: 200 }"
+     },
+     "Type": "MOCK"
+    },
+    "MethodResponses": [
+     {
+      "ResponseParameters": {
+       "method.response.header.Access-Control-Allow-Headers": true,
+       "method.response.header.Access-Control-Allow-Origin": true,
+       "method.response.header.Access-Control-Allow-Methods": true,
+       "method.response.header.Access-Control-Max-Age": true
+      },
+      "StatusCode": "204"
+     }
+    ],
+    "ResourceId": {
+     "Fn::GetAtt": [
+      "ActionsApiGatewayF80386B7",
+      "RootResourceId"
+     ]
+    },
+    "RestApiId": {
+     "Ref": "ActionsApiGatewayF80386B7"
+    }
+   }
+  },
+  "ActionsApiGatewayANY11FE5E47": {
+   "Type": "AWS::ApiGateway::Method",
+   "Properties": {
+    "AuthorizationType": "NONE",
+    "HttpMethod": "ANY",
+    "Integration": {
+     "IntegrationResponses": [
+      {
+       "StatusCode": "200"
+      }
+     ],
+     "PassthroughBehavior": "NEVER",
+     "RequestTemplates": {
+      "application/json": "{ \"statusCode\": 200 }"
+     },
+     "Type": "MOCK"
+    },
+    "MethodResponses": [
+     {
+      "StatusCode": "200"
+     }
+    ],
+    "ResourceId": {
+     "Fn::GetAtt": [
+      "ActionsApiGatewayF80386B7",
+      "RootResourceId"
+     ]
+    },
+    "RestApiId": {
+     "Ref": "ActionsApiGatewayF80386B7"
+    }
+   }
+  },
+  "ActionsApiGatewayGET12E87C75": {
+   "Type": "AWS::ApiGateway::Method",
+   "Properties": {
+    "AuthorizationScopes": [
+     "scope"
+    ],
+    "AuthorizationType": "COGNITO_USER_POOLS",
+    "AuthorizerId": {
+     "Ref": "AuthorizerBD825682"
+    },
+    "HttpMethod": "GET",
+    "Integration": {
+     "IntegrationResponses": [
+      {
+       "StatusCode": "200"
+      }
+     ],
+     "PassthroughBehavior": "NEVER",
+     "RequestTemplates": {
+      "application/json": "{ \"statusCode\": 200 }"
+     },
+     "Type": "MOCK"
+    },
+    "MethodResponses": [
+     {
+      "StatusCode": "200"
+     }
+    ],
+    "ResourceId": {
+     "Fn::GetAtt": [
+      "ActionsApiGatewayF80386B7",
+      "RootResourceId"
+     ]
+    },
+    "RestApiId": {
+     "Ref": "ActionsApiGatewayF80386B7"
+    }
+   }
+  }
+ },
+ "Outputs": {
+  "ActionsApiGatewayEndpoint261B645B": {
+   "Value": {
+    "Fn::Join": [
+     "",
+     [
+      "https://",
+      {
+       "Ref": "ActionsApiGatewayF80386B7"
+      },
+      ".execute-api.",
+      {
+       "Ref": "AWS::Region"
+      },
+      ".",
+      {
+       "Ref": "AWS::URLSuffix"
+      },
+      "/",
+      {
+       "Ref": "ActionsApiGatewayDeploymentStageprod812022BF"
+      },
+      "/"
+     ]
+    ]
+   }
+  }
+ },
+ "Parameters": {
+  "BootstrapVersion": {
+   "Type": "AWS::SSM::Parameter::Value<String>",
+   "Default": "/cdk-bootstrap/hnb659fds/version",
+   "Description": "Version of the CDK Bootstrap resources in this environment, automatically retrieved from SSM Parameter Store. [cdk:skip]"
+  }
+ },
+ "Rules": {
+  "CheckBootstrapVersion": {
+   "Assertions": [
+    {
+     "Assert": {
+      "Fn::Not": [
+       {
+        "Fn::Contains": [
+         [
+          "1",
+          "2",
+          "3",
+          "4",
+          "5"
+         ],
+         {
+          "Ref": "BootstrapVersion"
+         }
+        ]
+       }
+      ]
+     },
+     "AssertDescription": "CDK bootstrap stack version 6 required. Please run 'cdk bootstrap' with a recent version of the CDK CLI."
+    }
+   ]
+  }
+ }
+}