feat: use managed model capabilities for reasoning and image input

electron/coding-runtime/pi/subagent-child.ts

@@ -1,4 +1,5 @@
 import type { ModelSummary, ProviderAccount } from '../../shared/providers/types';
+import { buildManagedModelRequest } from '../../../shared/managed-model-capabilities';
 import { readCodingProjectConfigV2 } from '../../coding-projects/project-config';
 import type { CodingProjectStore } from '../../coding-projects/project-store';
 import type { PublicUsage } from '../contracts';
@@ -224,6 +225,9 @@ export function createPiManagedSubagentChildOpener(
         : {}),
     });
     const extension = await options.extensionHost.registerWorker({
+      ...(selection.managedCapability ? { managedModelRequest: buildManagedModelRequest(
+        agent.model.modelId, agent.model.reasoningChoice ?? { mode: 'default' }, selection.managedCapability,
+      ) } : {}),
       conversationId: input.conversationId,
       generation: input.workerGeneration,
       projectId: input.projectId,