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/shared/model-suggestion-retry.ts

@@ -105,7 +105,6 @@ export async function promptWithModelSuggestionRetry(
       } as Parameters<typeof client.session.promptAsync>[0],
       source: "model-suggestion-retry",
       settleMs: 0,
-      postDispatchHoldMs: 0,
     })
     if (promptResult.status === "failed") {
       throw promptResult.error
@@ -145,7 +144,6 @@ export async function promptSyncWithModelSuggestionRetry(
         } as Parameters<typeof client.session.prompt>[0],
         source: "model-suggestion-retry:sync",
         settleMs: 0,
-        postDispatchHoldMs: 0,
         checkStatus: false,
       })
       if (promptResult.status === "failed") {
@@ -198,7 +196,6 @@ export async function promptSyncWithModelSuggestionRetry(
         } as Parameters<typeof client.session.prompt>[0],
         source: "model-suggestion-retry:sync-retry",
         settleMs: 0,
-        postDispatchHoldMs: 0,
         checkStatus: false,
       })
       if (promptResult.status === "failed") {