fix(delegate-task): strip ZWSP from agent names on background launch path

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

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

src/features/background-agent/spawner.test.ts

@@ -466,4 +466,58 @@ describe("background-agent spawner fallback model promotion", () => {
     })
     expect(promptCalls[0]?.body?.variant).toBe("medium")
   })
+
+  test("strips leading zwsp from prompt body agent before promptAsync", async () => {
+    //#given
+    const promptCalls: Array<{ body?: { agent?: string } }> = []
+
+    const client = {
+      session: {
+        get: async () => ({ data: { directory: "/parent/dir" } }),
+        create: async () => ({ data: { id: "ses_child_clean_agent" } }),
+        promptAsync: async (args?: { body?: { agent?: string } }) => {
+          promptCalls.push(args ?? {})
+          return {}
+        },
+      },
+    }
+
+    const task = createTask({
+      description: "Test task",
+      prompt: "Do work",
+      agent: "\u200Bsisyphus-junior",
+      parentSessionID: "ses_parent",
+      parentMessageID: "msg_parent",
+    })
+
+    const item = {
+      task,
+      input: {
+        description: task.description,
+        prompt: task.prompt,
+        agent: task.agent,
+        parentSessionID: task.parentSessionID,
+        parentMessageID: task.parentMessageID,
+        parentModel: task.parentModel,
+        parentAgent: task.parentAgent,
+        model: task.model,
+      },
+    }
+
+    const ctx = {
+      client,
+      directory: "/fallback",
+      concurrencyManager: { release: () => {} },
+      tmuxEnabled: false,
+      onTaskError: () => {},
+    }
+
+    //#when
+    await startTask(item as any, ctx as any)
+    await new Promise((resolve) => setTimeout(resolve, 0))
+
+    //#then
+    expect(promptCalls).toHaveLength(1)
+    expect(promptCalls[0]?.body?.agent).toBe("sisyphus-junior")
+  })
 })

src/features/background-agent/spawner.ts

@@ -6,6 +6,7 @@ import { applySessionPromptParams } from "../../shared/session-prompt-params-hel
 import { subagentSessions } from "../claude-code-session-state"
 import { getTaskToastManager } from "../task-toast-manager"
 import { isInsideTmux } from "../../shared/tmux"
+import { stripAgentListSortPrefix } from "../../shared/agent-display-names"
 import type { ConcurrencyManager } from "./concurrency"
 
 export const FALLBACK_AGENT = "general"
@@ -168,11 +169,12 @@ export async function startTask(
       }
     : undefined
   const launchVariant = input.model?.variant
+  const normalizedAgent = stripAgentListSortPrefix(input.agent)
 
   applySessionPromptParams(sessionID, input.model)
 
   const promptBody = {
-    agent: input.agent,
+    agent: normalizedAgent,
     ...(launchModel ? { model: launchModel } : {}),
     ...(launchVariant ? { variant: launchVariant } : {}),
     system: input.skillContent,
@@ -180,7 +182,7 @@ export async function startTask(
       task: false,
       call_omo_agent: true,
       question: false,
-      ...getAgentToolRestrictions(input.agent),
+      ...getAgentToolRestrictions(normalizedAgent),
     },
     parts: [createInternalAgentTextPart(input.prompt)],
   }