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/recover-tool-result-missing.ts

@@ -3,7 +3,7 @@ import type { MessageData, ResumeConfig } from "./types"
 import { readParts } from "./storage/parts-reader"
 import { isSqliteBackend } from "../../shared/opencode-storage-detection"
 import { normalizeSDKResponse } from "../../shared"
-import { promptAsyncAfterSessionIdle } from "../shared/prompt-async-gate"
+import { dispatchInternalPrompt } from "../shared/prompt-async-gate"
 
 type Client = ReturnType<typeof createOpencodeClient>
 type ToolResultContent = { type: "text"; text: string }
@@ -169,7 +169,8 @@ export async function recoverToolResultMissing(
       return false
     }
 
-    const promptResult = await promptAsyncAfterSessionIdle({
+    const promptResult = await dispatchInternalPrompt({
+      mode: "async",
       client,
       sessionID,
       source: options?.source ?? "session-recovery-tool-result-missing",

src/hooks/session-recovery/recover-unavailable-tool.ts

@@ -4,7 +4,7 @@ import { readParts } from "./storage"
 import type { MessageData } from "./types"
 import { normalizeSDKResponse } from "../../shared"
 import { isSqliteBackend } from "../../shared/opencode-storage-detection"
-import { promptAsyncAfterSessionIdle } from "../shared/prompt-async-gate"
+import { dispatchInternalPrompt } from "../shared/prompt-async-gate"
 
 type Client = ReturnType<typeof createOpencodeClient>
 
@@ -119,7 +119,8 @@ export async function recoverUnavailableTool(
       return false
     }
 
-    const promptResult = await promptAsyncAfterSessionIdle<PromptWithToolResultInput>({
+    const promptResult = await dispatchInternalPrompt<PromptWithToolResultInput>({
+      mode: "async",
       client,
       sessionID,
       source: "session-recovery-unavailable-tool",

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",