Show task notifications as synthetic tool calls in chat (#79)

* fix(server): render claude task notifications as synthetic tool calls

* refactor(claude): extract task-notification tool-call mapper

* refactor: drive tool icons from plain_text detail metadata

* refactor(claude): make task-notification parsing schema-first

packages/app/src/utils/tool-call-icon.ts

@@ -10,7 +10,7 @@ import {
   SquareTerminal,
   Wrench,
 } from "lucide-react-native";
-import type { ToolCallDetail } from "@server/server/agent/agent-sdk-types";
+import type { ToolCallDetail, ToolCallIconName } from "@server/server/agent/agent-sdk-types";
 
 export type ToolCallIconComponent = ComponentType<{ size?: number; color?: string }>;
 
@@ -26,9 +26,25 @@ const TOOL_DETAIL_ICONS: Record<ToolCallDetail["type"], ToolCallIconComponent> =
   unknown: Wrench,
 };
 
+const TOOL_ICON_BY_NAME: Record<ToolCallIconName, ToolCallIconComponent> = {
+  wrench: Wrench,
+  square_terminal: SquareTerminal,
+  eye: Eye,
+  pencil: Pencil,
+  search: Search,
+  bot: Bot,
+  sparkles: Sparkles,
+  brain: Brain,
+  mic_vocal: MicVocal,
+};
+
 export function resolveToolCallIcon(toolName: string, detail?: ToolCallDetail): ToolCallIconComponent {
   const lowerName = toolName.trim().toLowerCase();
 
+  if (detail?.type === "plain_text" && detail.icon) {
+    return TOOL_ICON_BY_NAME[detail.icon];
+  }
+
   // Thoughts are rendered through ToolCall with unknown detail payloads.
   if (lowerName === "thinking" && (!detail || detail.type === "unknown")) {
     return Brain;
@@ -39,9 +55,6 @@ export function resolveToolCallIcon(toolName: string, detail?: ToolCallDetail):
   if (lowerName === "task") {
     return Bot;
   }
-  if (lowerName === "skill") {
-    return Sparkles;
-  }
 
   if (detail) {
     return TOOL_DETAIL_ICONS[detail.type];