chore: update logging integration test (#3903) #610

Job	Run time
GraphQL \| User Pool Tests	0s
GraphQL \| IAM Tests	0s
GraphQL \| Auth Directive Tests	0s
GraphQL \| Lazy Load Tests	0s
REST \| User Pool Tests	0s
Functional Tests / API Integration Tests \| Functional (iOS) / iOS Tests \| AWSAPIPluginFunctionalTests	8m 22s
Functional Tests / API Integration Tests \| Functional (tvOS) / tvOS Tests \| AWSAPIPluginFunctionalTests	8m 51s
Functional Tests / API Integration Tests \| Functional (watchOS) / watchOS Tests \| AWSAPIPluginFunctionalTestsWatch	8m 53s
GraphQL \| Lambda Tests / API Integration Tests \| GraphQL Lambda (iOS) / iOS Tests \| AWSAPIPluginGraphQLLambdaAuthTests	5m 47s
GraphQL \| Lambda Tests / API Integration Tests \| GraphQL Lambda (tvOS) / tvOS Tests \| AWSAPIPluginGraphQLLambdaAuthTests	4m 4s
GraphQL \| Lambda Tests / API Integration Tests \| GraphQL Lambda (watchOS) / watchOS Tests \| AWSAPIPluginGraphQLLambdaAuthTestsWatch	5m 41s
REST \| IAM Tests / API Integration Tests \| REST IAM (iOS) / iOS Tests \| AWSAPIPluginRESTIAMTests	4m 12s
REST \| IAM Tests / API Integration Tests \| REST IAM (tvOS) / tvOS Tests \| AWSAPIPluginRESTIAMTests	4m 13s
REST \| IAM Tests / API Integration Tests \| REST IAM (watchOS) / watchOS Tests \| AWSAPIPluginRESTIAMTestsWatch	5m 39s
	55m 42s

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