Update sample from AWS CDK v1 to CDK v2

The sample currently uses AWS CDK v1, which has reached end-of-life and is no longer actively maintained.

To ensure ongoing compatibility and improved maintainability, update the codebase to use AWS CDK v2. This includes:

• Refactoring all CDK constructs and dependencies to v2 syntax.
• Updating package dependencies in configuration files (such as package.json).
• Reviewing documentation and usage instructions to reflect CDK v2 changes.
• Testing the sample to verify functionality after the migration.

Please provide details of any breaking changes encountered and update relevant documentation if needed.