test(server): cover Publish identity refresh and failed turn-end refresh

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01WvDgDwRRG8xvtoABQ8KwtC
d674f603d5Claude committed on 9/26/2026, 12:12:34 AMparentb0ef34e
2 files changedLine totals unavailable