merge(dev): resolve latest manager and runtime-fallback conflicts

Sync the PR branch with the newest dev branch and resolve the new import-level conflicts in background-agent manager and runtime-fallback tests. Preserve both the delegated bootstrap coverage from this branch and the newer upstream test utilities and runtime wiring changes, then re-verify the affected delegated fallback suites and typecheck.

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

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

src/tools/delegate-task/sync-prompt-sender.ts

@@ -6,6 +6,7 @@ import {
   promptSyncWithModelSuggestionRetry,
   promptWithModelSuggestionRetry,
 } from "../../shared/model-suggestion-retry"
+import { routePromptRetry, routePromptSyncRetry } from "../../shared/session-route"
 import { formatDetailedError } from "./error-formatting"
 import { getAgentToolRestrictions } from "../../shared/agent-tool-restrictions"
 import { stripInvisibleAgentCharacters } from "../../shared/agent-display-names"
@@ -60,6 +61,7 @@ export async function sendSyncPrompt(
     promptText?: string
     systemContent: string | undefined
     categoryModel: DelegatedModelConfig | undefined
+    directory: string
     toastManager: { removeTask: (id: string) => void } | null | undefined
     taskId: string | undefined
     sisyphusAgentConfig?: SisyphusAgentConfig
@@ -100,11 +102,12 @@ export async function sendSyncPrompt(
   }
 
   try {
-    await deps.promptWithModelSuggestionRetry(client, promptArgs)
+    const routedPromptArgs = routePromptRetry(promptArgs, input.directory)
+    await deps.promptWithModelSuggestionRetry(client, routedPromptArgs)
   } catch (promptError) {
     if (isOracleAgent(input.agentToUse) && isUnexpectedEofError(promptError)) {
       try {
-        await deps.promptSyncWithModelSuggestionRetry(client, promptArgs)
+        await deps.promptSyncWithModelSuggestionRetry(client, routePromptSyncRetry(promptArgs, input.directory))
         return null
       } catch (oracleRetryError) {
         promptError = oracleRetryError