[Testing] [Feature]: Assert on events for examples

Migration from https://github.com/aws/aws-durable-execution-sdk-python-testing/issues/181

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### What would you like?

Currently we do manually asserts in integration tests.

We should be able to:

1. Generate events from local runner
2. Assert current events with the events in the json file

### Possible Implementation

_No response_

### Is this a breaking change?

No

### Does this require an RFC?

No

### Additional Context

_No response_

Start by tracing the integration tests that currently assert events manually and the local runner that generates them. Define the expected behavior around comparing current events with the events in a JSON file, then verify the examples use the new assertions and still pass.

Written by the indexing model from the issue text.