fix(agents): enable call_omo_agent for background agents while restricting recursive calls

- Enable call_omo_agent tool for skill execution in BackgroundManager
- Enable call_omo_agent tool for agent execution in BackgroundManager
- Enable call_omo_agent tool for sisyphus_task resume operations
- Enable call_omo_agent tool for sisyphus_task category-based delegation
- Restrict recursive task and sisyphus_task calls to prevent loops
- Allows background agents to delegate to other agents cleanly

🤖 Generated with OhMyOpenCode assistance

src/features/background-agent/manager.ts

@@ -152,6 +152,8 @@ export class BackgroundManager {
         system: input.skillContent,
         tools: {
           task: false,
+          sisyphus_task: false,
+          call_omo_agent: true,
         },
         parts: [{ type: "text", text: input.prompt }],
       },
@@ -312,6 +314,8 @@ export class BackgroundManager {
         agent: existingTask.agent,
         tools: {
           task: false,
+          sisyphus_task: false,
+          call_omo_agent: true,
         },
         parts: [{ type: "text", text: input.prompt }],
       },

src/tools/sisyphus-task/tools.ts

@@ -223,6 +223,7 @@ Use \`background_output\` with task_id="${task.id}" to check progress.`
               tools: {
                 task: false,
                 sisyphus_task: false,
+                call_omo_agent: true,
               },
               parts: [{ type: "text", text: args.prompt }],
             },
@@ -446,6 +447,7 @@ System notifies on completion. Use \`background_output\` with task_id="${task.id
               tools: {
                 task: false,
                 sisyphus_task: false,
+                call_omo_agent: true,
               },
               parts: [{ type: "text", text: args.prompt }],
               ...(categoryModel ? { model: categoryModel } : {}),