fix(prompt-gate): pin duplicate prompt dispatches

Keep prompt reservations briefly after successful dispatch so rapid idle/message/error transitions cannot inject the same follow-up twice.

Route all production session prompt calls through the shared gate, restore skipped background resume state, release holds after abort/recovery paths, and preserve Ralph/ULW loop state when a dispatch is deferred.

Add regression coverage for session routing, static prompt route auditing, team-mode live messaging, model suggestion retries, call-omo-agent reuse, background parent wakes, runtime fallback, compaction recovery, Atlas, and Ralph/ULW loops.

src/hooks/atlas/index.test.ts

@@ -1702,7 +1702,7 @@ session_id: ses_untrusted_999
 
         // then - stale idle is consumed, not converted into another scheduled continuation
         expect(mockInput._promptMock).toHaveBeenCalledTimes(1)
-        expect(scheduledDelays).toHaveLength(0)
+        expect(scheduledDelays.filter((delay) => delay >= 5_000)).toHaveLength(0)
       } finally {
         globalThis.setTimeout = originalSetTimeout
       }