test(distributed): cover binary backend routes

Run one real frontend and worker against deterministic fixtures. The owner tunnel now covers every public backend route in this task.

Store requests exposed a missing config revision. Forward the persisted revision so distributed routing accepts store models.

The harness pins staging capacity because quota-backed CI filesystems can report misleading host totals.

Assisted-by: Codex:GPT-5 [apply_patch] [exec_command]
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