refactor(docs): move A2UI docs from chat to render library

apps/website/content/docs/chat/components/chat.mdx

@@ -150,7 +150,7 @@ AI messages containing JSON are parsed character-by-character as tokens stream.
 
 When AI messages contain A2UI content (prefixed with `---a2ui_JSON---`), the component auto-detects and renders surfaces using the built-in `a2uiBasicCatalog()`. This includes 12 components from the A2UI v0.9 basic catalog: Text, Image, Icon, Divider, Row, Column, Card, List, Button, TextField, CheckBox, and ChoicePicker.
 
-A2UI surfaces support two-way data binding, button actions, template expansion over collections, and validation. See the [A2UI guide](/docs/chat/a2ui/overview) for details.
+A2UI surfaces support two-way data binding, button actions, template expansion over collections, and validation. See the [A2UI guide](/docs/render/a2ui/overview) for details.
 
 ## Auto-Scroll Behavior
 

apps/website/content/docs/chat/guides/generative-ui.mdx

@@ -133,7 +133,7 @@ The store enables two-way data binding between generative UI components and your
 
 ## A2UI Protocol
 
-For agents that implement Google's A2UI v0.9 protocol, `ChatComponent` auto-detects A2UI payloads (prefixed with `---a2ui_JSON---`) and renders them using the built-in A2UI catalog. See the [A2UI guide](/docs/chat/a2ui/overview) for details.
+For agents that implement Google's A2UI v0.9 protocol, `ChatComponent` auto-detects A2UI payloads (prefixed with `---a2ui_JSON---`) and renders them using the built-in A2UI catalog. See the [A2UI guide](/docs/render/a2ui/overview) for details.
 
 ## What's Next
 
@@ -152,7 +152,7 @@ For agents that implement Google's A2UI v0.9 protocol, `ChatComponent` auto-dete
   >
     Full reference for the JSON spec format, prop expressions, and element types.
   </Card>
-  <Card title="A2UI Protocol" icon="layers" href="/docs/chat/a2ui/overview">
+  <Card title="A2UI Protocol" icon="layers" href="/docs/render/a2ui/overview">
     Render A2UI v0.9 surfaces with the built-in 12-component catalog.
   </Card>
 </CardGroup>

apps/website/content/docs/chat/guides/streaming.mdx

@@ -110,7 +110,7 @@ A2UI content uses a different detection trigger than JSON-render specs. Instead
 
 Once detected, the classifier switches to A2UI mode and parses the remaining content as JSONL — one JSON object per line — rather than a single JSON object. Each line represents an A2UI message that builds up surfaces with components and data models.
 
-The resulting surfaces are available via `classifier.a2uiSurfaces()`, which returns a `Map<string, A2uiSurface>` keyed by surface ID. See the [A2UI guide](/docs/chat/a2ui/overview) for full details on the A2UI protocol and surface structure.
+The resulting surfaces are available via `classifier.a2uiSurfaces()`, which returns a `Map<string, A2uiSurface>` keyed by surface ID. See the [A2UI guide](/docs/render/a2ui/overview) for full details on the A2UI protocol and surface structure.
 
 ## Error Handling
 

apps/website/content/docs/chat/a2ui/catalog.mdx → apps/website/content/docs/render/a2ui/catalog.mdx

@@ -129,7 +129,7 @@ Renders children in a scrollable vertical list (max height 24rem).
 | `spec` | `Spec` | Injected automatically by the render engine |
 
 <Callout type="info" title="Template children">
-For data-driven lists, use the `A2uiChildTemplate` form instead of static `childKeys`. Set `children` to `{"path": "/items", "componentId": "item-template"}` and the surface component will expand the template once per array item. See the [Surface Component](/docs/chat/a2ui/surface-component) page for details.
+For data-driven lists, use the `A2uiChildTemplate` form instead of static `childKeys`. Set `children` to `{"path": "/items", "componentId": "item-template"}` and the surface component will expand the template once per array item. See the [Surface Component](/docs/render/a2ui/surface-component) page for details.
 </Callout>
 
 ## Interactive Components
@@ -444,14 +444,14 @@ Props that use `A2uiFunctionCall` can reference these built-in functions:
   <Card
     title="A2UI Overview"
     icon="book-open"
-    href="/docs/chat/a2ui/overview"
+    href="/docs/render/a2ui/overview"
   >
     How the A2UI protocol works end-to-end.
   </Card>
   <Card
     title="Surface Component"
     icon="layers"
-    href="/docs/chat/a2ui/surface-component"
+    href="/docs/render/a2ui/surface-component"
   >
     Render surfaces and understand dynamic value resolution.
   </Card>

apps/website/content/docs/chat/a2ui/overview.mdx → apps/website/content/docs/render/a2ui/overview.mdx

@@ -295,21 +295,21 @@ Validation styling uses CSS custom properties:
   <Card
     title="Surface Component"
     icon="layers"
-    href="/docs/chat/a2ui/surface-component"
+    href="/docs/render/a2ui/surface-component"
   >
     API reference for A2uiSurfaceComponent — render a surface outside ChatComponent.
   </Card>
   <Card
     title="Surface Store"
     icon="database"
-    href="/docs/chat/a2ui/surface-store"
+    href="/docs/render/a2ui/surface-store"
   >
     API reference for createA2uiSurfaceStore() and the apply/surfaces/surface interface.
   </Card>
   <Card
     title="Component Catalog"
     icon="grid"
-    href="/docs/chat/a2ui/catalog"
+    href="/docs/render/a2ui/catalog"
   >
     Reference for all 18 built-in components and their props.
   </Card>

apps/website/content/docs/chat/a2ui/surface-component.mdx → apps/website/content/docs/render/a2ui/surface-component.mdx

@@ -114,14 +114,14 @@ Returns `null` when the surface has no `root` component. Otherwise returns a com
   <Card
     title="Surface Store"
     icon="database"
-    href="/docs/chat/a2ui/surface-store"
+    href="/docs/render/a2ui/surface-store"
   >
     Manage surfaces and apply A2UI messages reactively.
   </Card>
   <Card
     title="Component Catalog"
     icon="grid"
-    href="/docs/chat/a2ui/catalog"
+    href="/docs/render/a2ui/catalog"
   >
     All 18 built-in components and their props.
   </Card>

apps/website/content/docs/chat/a2ui/surface-store.mdx → apps/website/content/docs/render/a2ui/surface-store.mdx

@@ -138,14 +138,14 @@ The `components` map is keyed by component ID. The `dataModel` is a plain object
   <Card
     title="Surface Component"
     icon="layers"
-    href="/docs/chat/a2ui/surface-component"
+    href="/docs/render/a2ui/surface-component"
   >
     Render a surface using A2uiSurfaceComponent.
   </Card>
   <Card
     title="Component Catalog"
     icon="grid"
-    href="/docs/chat/a2ui/catalog"
+    href="/docs/render/a2ui/catalog"
   >
     All 18 built-in components and their props.
   </Card>

apps/website/src/lib/docs-config.ts

@@ -101,6 +101,17 @@ export const docsConfig: DocsLibrary[] = [
           { title: 'Events & Handlers', slug: 'events', section: 'guides' },
         ],
       },
+      {
+        title: 'A2UI',
+        id: 'a2ui',
+        color: 'red',
+        pages: [
+          { title: 'Overview', slug: 'overview', section: 'a2ui' },
+          { title: 'A2uiSurfaceComponent', slug: 'surface-component', section: 'a2ui' },
+          { title: 'createA2uiSurfaceStore()', slug: 'surface-store', section: 'a2ui' },
+          { title: 'Component Catalog', slug: 'catalog', section: 'a2ui' },
+        ],
+      },
       {
         title: 'API Reference',
         id: 'api',
@@ -167,17 +178,6 @@ export const docsConfig: DocsLibrary[] = [
           { title: 'createParseTreeStore()', slug: 'parse-tree-store', section: 'api' },
         ],
       },
-      {
-        title: 'A2UI',
-        id: 'a2ui',
-        color: 'red',
-        pages: [
-          { title: 'Overview', slug: 'overview', section: 'a2ui' },
-          { title: 'A2uiSurfaceComponent', slug: 'surface-component', section: 'a2ui' },
-          { title: 'createA2uiSurfaceStore()', slug: 'surface-store', section: 'a2ui' },
-          { title: 'Component Catalog', slug: 'catalog', section: 'a2ui' },
-        ],
-      },
     ],
   },
 ];