fix(anthropic): preserve routed response model metadata

[Ingwannu]

Summary

• Preserve the canonical provider-qualified Anthropic selector in Codex-facing streaming and JSON Responses while keeping the bare model id on the upstream Messages request.
• Thread the client-facing identity through the normal Responses bridge, image bridge, and web-search loop without changing non-Anthropic or OpenAI virtual-model identities.
• Generate hidden, marker-owned bare Anthropic compatibility catalog rows with the canonical context/compaction/capability metadata, and remove those rows safely during sync/restore.
• Document the response-identity and cleanup invariant.

Closes #1117

Verification

• bun run typecheck - passed on latest dev (bbd82e73).
• bun test tests/anthropic-response-model.test.ts tests/openai-api-virtual-models.test.ts tests/server-combo-failover-e2e.test.ts tests/images/loop.test.ts tests/web-search.test.ts tests/codex-catalog.test.ts tests/codex-catalog-restore.test.ts - 291 passed, 0 failed.
• bun run privacy:scan - passed.
• Full suite run - 9,227 passed / 10 skipped / 2 failed out of 9,239. The two failures were unrelated local-environment cases: the shim fixture read this host's existing persisted service token instead of its temporary fixture token, and one native-profile timing test passed immediately when rerun in isolation. Required GitHub CI remains the merge authority.

Checklist

• Scope stays focused and avoids unrelated cleanup.
• Docs or release notes were updated when needed.
• Security-sensitive changes were reviewed for secrets, auth, and unsafe defaults.

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