refactor(hooks): use unified internal prompt dispatch

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent)

Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>

src/hooks/session-recovery/resume.ts

@@ -4,7 +4,7 @@ import {
   isRealUserMessage,
   resolveInheritedPromptTools,
 } from "../../shared"
-import { promptAsyncAfterSessionIdle } from "../shared/prompt-async-gate"
+import { dispatchInternalPrompt } from "../shared/prompt-async-gate"
 import type { MessageData, ResumeConfig } from "./types"
 
 const RECOVERY_RESUME_TEXT = "[session recovered - continuing previous task]"
@@ -38,7 +38,8 @@ export async function resumeSession(client: Client, config: ResumeConfig): Promi
       : undefined
     const launchVariant = config.model?.variant
 
-    const promptResult = await promptAsyncAfterSessionIdle({
+    const promptResult = await dispatchInternalPrompt({
+      mode: "async",
       client,
       sessionID: config.sessionID,
       source: "session-recovery",