Fix worker status for unusable terminal backend responses

[ushaket]

Summary

This PR fixes a scheduler correctness bug where requests could be marked as completed even when the backend resolved without a usable terminal response. It adds explicit terminal-response validation in the worker so malformed/empty terminal results are surfaced as errored with a clear diagnostic instead of being counted as successful requests.

Details

• Added terminal response validation in WorkerProcess to guard final status transitions.
• Updated request finalization logic so unusable terminal responses set:
  • status: errored
  • error message: [UNUSABLE_BACKEND_RESPONSE] backend resolved without a usable terminal response payload
• Implemented GenerationResponse-aware usability criteria:
  • usable if non-empty text or output_metrics.total_tokens > 0
  • None terminal response is always unusable
  • non-GenerationResponse fallback remains bool(response) for generic/test compatibility
• Added regression tests in tests/unit/scheduler/test_worker.py for:
  • no terminal response object -> errored
  • empty GenerationResponse -> errored
  • token-bearing GenerationResponse with empty text -> completed
• Preserved existing cancellation/error flow behavior outside terminal-response validation.

Test Plan

• Run targeted worker regression tests:
  • uv run pytest -q tests/unit/scheduler/test_worker.py -k "terminal_response or empty_generation_response or generation_response_with_tokens or invalid_initialization"
• Verify expected outcomes:
  • missing terminal response is not marked completed
  • empty GenerationResponse is not marked completed
  • non-empty signal (output_tokens > 0) is accepted as completed
• Confirm no lint issues on touched files.

Related Issues

• Resolves Worker marks completed/successful when final response has no usable data #613

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• "I certify that all code in this PR is my own, except as noted below."

Use of AI

• Includes AI-assisted code completion
• Includes code generated by an AI application
• Includes AI-generated tests (NOTE: AI written tests should have a docstring that includes ## WRITTEN BY AI ##)

[ushaket]

This introduce worker dependency on GenerationResponse, not sure if that's the right way to go,
The reason I added it is that the we need to somehow know what we're looking for, in the future we might have ResponseT that doesn't return text and total_tokens, so if we want to keep this check in the worker, we'll need to be aware of the different ResponseT possible

[sjmonson]

Hmm, yeah I am not a fan of depending on GenerationResponse in the worker. Can you maybe just check inside the OpenAIRequestHandler.compile_streaming and OpenAIRequestHandler.compile_non_streaming methods? It does not generalize as nicely but what qualifies as an unusable response may differ between backends/endpoints. If you throw an exception in those methods it should propagate up to the worker.

[ushaket]

Done

[sjmonson]

Can you rebase and get rid of the merge commits?