test(server): reproduce issue 24297 wake-gap empty roster

Tests reproduce issue 24297: after a background command exits while the
Claude root is idle, the adapter publishes an empty background roster
before the wake run starts, letting a delegated task finalize on a stale
result.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
c6008634a5Julius Marminge committed on 10/24/2026, 10:16:42 AMparent27e0c68
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