Maintenance: add e2e test for clear state functionality

[saragerion]

Description of the feature request

Problem statement

PR #902 introduces a new flag that developers can enable to "clear the state" across invocations.
If developers want to make sure that persistent attributes added inside the handler function code are not persisted across invocations, they can now set the parameter clearState as true in the injectLambdaContext middleware or decorator.

To further validate that the functionality works as expected, we'd need one or more E2E tests scenarios for the Logger utility that confirm that with the flag enabled, persistent attributes added inside the Lambda function handler are not cached between invocations.

Summary of the feature

Add E2E test scenario for the clear state functionality.

Code examples

N/A

Benefits for you and the wider AWS community

Improved confidence over this feature's effectiveness.

Describe alternatives you've considered

N/A

Additional context

N/A

Related issues, RFCs

#482
#902

[saragerion]

Closing as this is done here
#902

[github-actions]

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