fix: remove continuation behavior from reference integrations - #63

Summary

Removes continuation behavior from the reference integrations.

This changes failed transitions from a resumable interaction model into a rejected current-request model:

• failed transitions do not create resumable state;
• later user input is treated as a new request;
• successful authoritative state transitions continue to persist normally.

Also simplifies the reference integration layer by removing stale continuation-era code and sharing duplicated LiteLLM adapter plumbing.

Why

The previous integration examples included continuation/clarification behavior where failed transitions could leave state that was completed by a later user response.

That model is no longer part of Context Compiler.

The reference integrations should demonstrate the current enforcement boundary:

user request → compiler decision → apply or reject → preserve authoritative state

This cleanup establishes a simpler baseline before adding DirectiveDrafter + HITL flows.

Example metadata

• Enforcement point: LiteLLM proxy hook and OpenWebUI pipe integration boundaries
• Domain: General context/state enforcement
• Technology/runtime: LiteLLM Proxy, OpenWebUI Pipe, Python
• Example type: reference integration
• Does this use directive drafter? should normally be no: No (existing drafter variants were updated only to remove old continuation behavior; no new drafter flow added)
• Does this derive state from model output? must be no for primary examples: No

Checklist

• Repository scaffolding / governance change
• One primary enforcement point
• Explicit authoritative state
• No model-derived state mutation
• Adversarial stub or equivalent test
• Observable runtime behavior change
• Domain vocabulary is natural
• Framework is secondary to the enforcement point
• Docs updated
• Tests/smoke checks added where practical

Notes

LiteLLM changes:

• Failed transitions no longer overwrite saved checkpoints.
• Existing persistent/stateless session handling is preserved.
• Shared LiteLLM support helpers were extracted for duplicated request/state rendering plumbing.

OpenWebUI changes:

• Failed transitions restore the prior in-memory engine state.
• Clarification/resume terminology and behavior were removed.
• Unused continuation-era helper code was removed.

This PR intentionally does not add DirectiveDrafter approval flows or HITL behavior. It only establishes the post-continuation integration baseline.