Fix stack name duplication in integration test cases

[hnishar]

Problem: When attempting to deploy multiple integ test cases of the same pattern, it fails sometimes due to the same stack name used by more than one integ test, for example, this and this are independent tests but since they both use the same stack name, when deploying it in an account, the second test case updates the stack created by the first test case.

Reproduction Steps

Deploy all integ tests of aws-apigateway-dynamodb pattern, it fails for the second or third test case

Error Log

4:19:55 PM | CREATE_FAILED | AWS::ApiGateway::Resource | test-api-gateway-d...stApi/Default/{id}
A sibling ({oddName}) of this resource already has a variable path part -- only one is allowed (Service: AmazonApiGateway; Status Code: 400; Error Code: BadRequestException; Request ID: a961d316-a971-4358-86f9-c5cfdf72a0dd; Proxy: null)
4:19:56 PM | UPDATE_ROLLBACK_IN_P | AWS::CloudFormation::Stack | test-apigateway-dynamodb-default
The following resource(s) failed to create: [testapigatewaydynamodbdefaultDynamoTable0720D92C, testapig
❌ test-apigateway-dynamodb-default failed: Error: The stack named test-apigateway-dynamodb-default failed to deploy: UPDATE_ROLLBACK_COMPLETE
The stack named test-apigateway-dynamodb-default failed to deploy: UPDATE_ROLLBACK_COMPLETE

Environment

• CDK CLI Version : 1.101.0
• CDK Framework Version: 1.101.0
• AWS Solutions Constructs Version : 1.101.0
• OS : Mac
• Language :Typescript

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This is 🐛 Bug Report