[Bug]: integration tests fail frequently with TooManyRequestsException

[zhongkechen]

Expected Behavior

The deployment of examples should always succeed consistently

Actual Behavior

The deployment of examples fail frequently with the following error:

botocore.errorfactory.TooManyRequestsException: An error occurred (TooManyRequestsException) when calling the UpdateFunctionCode operation (reached max retries: 4): Rate exceeded

e.g.
https://github.com/aws/aws-durable-execution-sdk-python/actions/runs/26665990309/job/78599362198
https://github.com/aws/aws-durable-execution-sdk-python/actions/runs/26666530204/job/78600991779?pr=371

and also

"Error: RROR]: Waiter FunctionActive failed: An error occurred (TooManyRequestsException): Rate exceeded
133
Error: Process completed with exit code 255."

https://github.com/aws/aws-durable-execution-sdk-python/actions/runs/26841987377/job/79151294530

Steps to Reproduce

N/A

SDK Version

N/A

Python Version

3.14

Is this a regression?

No

Last Working Version

No response

Additional Context

No response