fix(delegate-task): start sync prompts asynchronously

src/shared/model-suggestion-retry.ts

@@ -74,6 +74,8 @@ export async function promptWithModelSuggestionRetry(
       source: "model-suggestion-retry",
       settleMs: 0,
       ...(options.queueBehavior ? { queueBehavior: options.queueBehavior } : {}),
+      ...(options.checkStatus !== undefined ? { checkStatus: options.checkStatus } : {}),
+      ...(options.checkToolState !== undefined ? { checkToolState: options.checkToolState } : {}),
     })
     if (promptResult.status === "failed") {
       if (timeoutContext.wasTimedOut()) {

src/shared/prompt-timeout-context.ts

@@ -5,6 +5,8 @@ export interface PromptTimeoutArgs {
 export interface PromptRetryOptions {
   timeoutMs?: number
   queueBehavior?: "enqueue" | "defer"
+  checkStatus?: boolean
+  checkToolState?: boolean
 }
 
 export const PROMPT_TIMEOUT_MS = 120000