Barrier Requests: Adds Integration tests for retry logic for 410/ Lease Not Found (1022) exceptions

[aavasthy]

Pull Request Template

Description

If a barrier request receives a 410/1022 from the backend for any given replica (quorum replicas in case of reads), then the SDK should attempt to retry the barrier request in the primary replica. If the primary replica responds with a 410/1022, then the entire Read or Write operation should bail-out/ fail and Reads/ Writes (either PPAF enabled on SM or in MM) should be retried on the next preferred region.

This PR adds integration tests for testing end to end flow with direct package changes.

Type of change

Please delete options that are not relevant.

• New feature (non-breaking change which adds functionality)

Closing issues

To automatically close an issue: closes #5383

[yash2710]

For the purpose of differentiating the first and rest requests, it would be simpler to use a boolean:

bool firstRequest = true;

CosmosClientOptions clientOptions //...
{
    TransportClientHandlerFactory // ...
        interceptorAfterResult: // ...
        {
            // ...
            if (request.OperationType == OperationType.Head)
            {
                // ...
                if (firstRequest)
                {
                    // ...
                    firstRequest = false;
                } else 
                {
                    // ...
                }
            }
        }
}

[yash2710]

Also, if it is not only about 2 requests, it would be meaningful to fail on barrierRequestCount > 2 in the if else ladder and fail fast

[aavasthy]

The separate boolean approach might not work here because these tests validate different retry scenarios with varying expected behaviors - some tests expect exactly 2 barrier requests (success case), while others specifically test the SDK's retry exhaustion behavior that can generate up to 40 attempts.

[kirankumarkolli]

Two more scenarios to cover

• 410/1022: From primary results in failure for Writes
• 410/1022: From primary results in cross-region retry and succceds

[kirankumarkolli]

Please also update the description