docs: use official Claude directory connector

integrations/claude/claude-code-and-desktop.mdx

@@ -3,10 +3,11 @@ title: "Claude Code and Desktop"
 description: "Give Claude Code and Claude Desktop a Kernel cloud browser"
 ---
 
-Connect the Claude apps you already use to Kernel. There are two ways to bring Kernel into [Claude Code](https://www.claude.com/product/claude-code):
+Connect the Claude apps you already use to Kernel.
 
-- **Marketplace plugin** — load Kernel's skills directly into Claude Code so it knows how to manage cloud browsers and write automations.
-- **Remote MCP server** — connect Claude Code to Kernel's [MCP server](/reference/mcp-server) to create and manage cloud browsers from chat.
+## Claude Desktop
+
+Claude Desktop reaches Kernel through Kernel's [official connector](https://claude.ai/directory/kernel), added as a custom connector under **Settings → Connectors**. The [Claude client guide](/reference/mcp-server/clients/claude) has the steps, and covers Claude.ai as well.
 
 ## Marketplace plugin (Claude Code)
 
@@ -29,7 +30,7 @@ See the [skills repo](https://github.com/kernel/skills#available-skills) for the
 
 ## Remote MCP server (Claude Code)
 
-Add Kernel's remote MCP server to manage cloud browsers from Claude Code.
+Add Kernel's [remote MCP server](/reference/mcp-server) to manage cloud browsers from Claude Code.
 
 **Using the Kernel CLI (recommended):**
 
@@ -46,7 +47,3 @@ claude mcp add --transport http kernel https://mcp.onkernel.com/mcp
 # Then in the REPL run once to authenticate:
 /mcp
 ```
-
-## Claude Desktop
-
-Claude Desktop reaches Kernel through the same remote MCP server, added as a custom connector under **Settings → Connectors**. The [Claude client guide](/reference/mcp-server/clients/claude) has the steps, and covers Claude.ai as well.

integrations/claude/overview.mdx

@@ -9,7 +9,7 @@ Kernel gives Claude a real, cloud-hosted browser to work in, so your agents can
 
 ### Claude Code and Claude Desktop
 
-Connect the Claude apps you already use to Kernel. Add Kernel's [remote MCP server](/reference/mcp-server) to manage cloud browsers from Claude Code or Claude Desktop, or install the [marketplace plugin](https://github.com/kernel/skills#claude-code) to load Kernel's CLI and SDK skills into Claude Code.
+Connect the Claude apps you already use to Kernel. Add Kernel's [official connector](https://claude.ai/directory/kernel) to manage cloud browsers from Claude Desktop and Claude.ai, or install the [marketplace plugin](https://github.com/kernel/skills#claude-code) to load Kernel's CLI and SDK skills into Claude Code.
 
 [Set up Claude Code and Desktop →](/integrations/claude/claude-code-and-desktop)
 

reference/mcp-server/clients/claude.mdx

@@ -7,10 +7,11 @@ description: "Connect Claude.ai, Claude Desktop, and Claude Code to the Kernel M
 
 ## Pro, Max, Team & Enterprise (Claude.ai and Claude Desktop)
 
-1. Go to **Settings → Connectors → Add custom connector**.
-2. Enter: **Integration name:** `Kernel`, **Integration URL:** `https://mcp.onkernel.com/mcp`, then click **Add**.
-3. In **Settings → Connectors**, click **Connect** next to `Kernel` to launch OAuth and approve.
-4. In chat, click **Search and tools** and enable the Kernel tools if needed.
+Kernel is available as an [official connector](https://claude.ai/directory/kernel) in the Claude directory.
+
+1. Open Kernel's [official connector](https://claude.ai/directory/kernel) and click **Connect** (or find `Kernel` under **Settings → Connectors**).
+2. Launch OAuth and approve.
+3. In chat, click **Search and tools** and enable the Kernel tools if needed.
 
 <Info>On Claude for Work (Team/Enterprise), only Primary Owners or Owners can enable custom connectors for the org. After it's configured, each user still needs to go to **Settings → Connectors** and click **Connect** to authorize it for their account.</Info>