feat: add parentTools field to BackgroundTask, LaunchInput, ResumeInput

Allows background tasks to carry the parent session's tool restriction
map so it can be applied when notifying the parent session on completion.

src/features/background-agent/types.ts

@@ -37,6 +37,8 @@ export interface BackgroundTask {
   concurrencyGroup?: string
   /** Parent session's agent name for notification */
   parentAgent?: string
+  /** Parent session's tool restrictions for notification prompts */
+  parentTools?: Record<string, boolean>
   /** Marks if the task was launched from an unstable agent/category */
   isUnstableAgent?: boolean
   /** Category used for this task (e.g., 'quick', 'visual-engineering') */
@@ -56,6 +58,7 @@ export interface LaunchInput {
   parentMessageID: string
   parentModel?: { providerID: string; modelID: string }
   parentAgent?: string
+  parentTools?: Record<string, boolean>
   model?: { providerID: string; modelID: string; variant?: string }
   isUnstableAgent?: boolean
   skills?: string[]
@@ -70,4 +73,5 @@ export interface ResumeInput {
   parentMessageID: string
   parentModel?: { providerID: string; modelID: string }
   parentAgent?: string
+  parentTools?: Record<string, boolean>
 }