fix(docs): update shared snippets to correct V2 API patterns

- CopilotKit imports changed to V1 path (@copilotkit/react-core)
- useDefaultTool renamed to useDefaultRenderTool

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

Author: tylerslaton

docs/snippets/landing-code-showcase.mdx

@@ -9,7 +9,7 @@ import { MessageSquare, Layers, Code, Bot, Server, BookOpen, Play, Book } from "
 ]}>
   <CodePanel>
     ```tsx title="app.tsx"
-    import { CopilotKit } from "@copilotkit/react-core/v2";
+    import { CopilotKit } from "@copilotkit/react-core";
     import { CopilotSidebar } from "@copilotkit/react-core/v2";
     import "@copilotkit/react-ui/v2/styles.css";
 

docs/snippets/shared/guides/default-tool-rendering.mdx

@@ -1,17 +1,17 @@
-`useDefaultTool` provides a catch-all renderer for **any tool** that doesn't have a specific `useRenderToolCall` defined. This is useful for:
+`useDefaultRenderTool` provides a catch-all renderer for **any tool** that doesn't have a specific `useRenderToolCall` defined. This is useful for:
 
 - Displaying all tool calls during development
 - Rendering MCP (Model Context Protocol) tools
 - Providing a generic fallback UI for unexpected tools
 
 ```tsx title="app/page.tsx"
-import { useDefaultTool } from "@copilotkit/react-core/v2"; // [!code highlight]
+import { useDefaultRenderTool } from "@copilotkit/react-core/v2"; // [!code highlight]
 // ...
 
 const YourMainContent = () => {
   // ...
   // [!code highlight:15]
-  useDefaultTool({
+  useDefaultRenderTool({
     render: ({ name, args, status, result }) => {
       return (
         <div style={{ color: "black" }}>
@@ -31,7 +31,7 @@ const YourMainContent = () => {
 ```
 
 <Callout type="info">
-  Unlike `useRenderToolCall`, which targets a specific tool by name, `useDefaultTool` catches **all** tools that don't have a dedicated renderer.
+  Unlike `useRenderToolCall`, which targets a specific tool by name, `useDefaultRenderTool` catches **all** tools that don't have a dedicated renderer.
 </Callout>
 
 <Callout type="info">

docs/snippets/shared/premium/observability.mdx

@@ -21,7 +21,7 @@ Track user interactions and chat events with comprehensive observability hooks:
 
 ```tsx
 import { CopilotChat } from "@copilotkit/react-core/v2";
-import { CopilotKit } from "@copilotkit/react-core/v2";
+import { CopilotKit } from "@copilotkit/react-core";
 
 export default function App() {
   return (
@@ -68,7 +68,7 @@ export default function App() {
 Monitor system errors and performance with error observability hooks:
 
 ```tsx
-import { CopilotKit } from "@copilotkit/react-core/v2";
+import { CopilotKit } from "@copilotkit/react-core";
 
 export default function App() {
   return (

docs/snippets/shared/reference/copilotkit-component.mdx

@@ -13,7 +13,7 @@ This component will typically wrap your entire application (or a sub-tree of you
 You can find more information about self-hosting CopilotKit [here](/direct-to-llm/guides/self-hosting).
 
 ```tsx
-import { CopilotKit } from "@copilotkit/react-core/v2";
+import { CopilotKit } from "@copilotkit/react-core";
 
 <CopilotKit runtimeUrl="<your-runtime-url>">
   // ... your app ...