fix: inherit parent session tool restrictions in background task notifications

Pass parentTools from session-tools-store through the background task
lifecycle (launch → task → notify) so that when notifyParentSession
sends promptAsync, the original tool restrictions (e.g., question: false)
are preserved. This prevents the Question tool from re-enabling after
call_omo_agent background tasks complete.

src/tools/call-omo-agent/background-agent-executor.ts

@@ -5,6 +5,7 @@ import { log } from "../../shared"
 import type { CallOmoAgentArgs } from "./types"
 import type { ToolContextWithMetadata } from "./tool-context-with-metadata"
 import { getMessageDir } from "./message-storage-directory"
+import { getSessionTools } from "../../shared/session-tools-store"
 
 export async function executeBackgroundAgent(
 	args: CallOmoAgentArgs,
@@ -36,6 +37,7 @@ export async function executeBackgroundAgent(
 			parentSessionID: toolContext.sessionID,
 			parentMessageID: toolContext.messageID,
 			parentAgent,
+			parentTools: getSessionTools(toolContext.sessionID),
 		})
 
 		const waitStart = Date.now()

src/tools/call-omo-agent/background-executor.ts

@@ -5,6 +5,7 @@ import { consumeNewMessages } from "../../shared/session-cursor"
 import { findFirstMessageWithAgent, findNearestMessageWithFields } from "../../features/hook-message-injector"
 import { getSessionAgent } from "../../features/claude-code-session-state"
 import { getMessageDir } from "./message-dir"
+import { getSessionTools } from "../../shared/session-tools-store"
 
 export async function executeBackground(
   args: CallOmoAgentArgs,
@@ -41,6 +42,7 @@ export async function executeBackground(
       parentSessionID: toolContext.sessionID,
       parentMessageID: toolContext.messageID,
       parentAgent,
+      parentTools: getSessionTools(toolContext.sessionID),
     })
 
     const WAIT_FOR_SESSION_INTERVAL_MS = 50