[Feature]: integrate with Lambda PowerTools idempotency utility

### What would you like?

The PowerTools Idempotency utility:
https://docs.aws.amazon.com/powertools/java/1.x.x/utilities/idempotency/

### Possible Implementation

_No response_

### Is this a breaking change?

No

### Does this require an RFC?

No

### Additional Context

_No response_

Start by reading the linked AWS Lambda PowerTools Java idempotency documentation and then locate the durable execution SDK's integration entry points. The issue names no files or tests, so the completion criteria still need to be defined; done should mean a non-breaking integration with the utility and appropriate validation.

Written by the indexing model from the issue text.