docs: add Claude Code connection guide

AGENTS.md

@@ -45,6 +45,8 @@ cloudflare-mcp/
 │       └── tool-call.test.ts
 ├── scripts/
 │   └── seed-r2.ts                 # Seed OpenAPI spec to R2 bucket
+├── docs/
+│   └── connection-guides/         # Client-specific MCP setup guides
 ├── .github/workflows/
 │   ├── ci.yml                     # PR validation
 │   └── bonk.yml                   # AI code review

README.md

@@ -15,6 +15,10 @@
 
 MCP URL: `https://mcp.cloudflare.com/mcp`
 
+### Connection Guides
+
+- [Claude Code](docs/connection-guides/claude-code.md)
+
 ### Option 1: OAuth (Recommended)
 
 Just connect to the MCP server URL - you'll be redirected to Cloudflare to authorize and select permissions.

docs/connection-guides/claude-code.md

@@ -0,0 +1,60 @@
+# Connect Claude Code to the Cloudflare MCP server
+
+The Cloudflare MCP server gives Claude Code access to the Cloudflare API through the remote HTTP transport.
+
+## Add the server
+
+Run this command from the project where you use Claude Code:
+
+```sh
+claude mcp add --transport http cloudflare-api https://mcp.cloudflare.com/mcp
+```
+
+This creates a local-scope configuration by default. It is private to you and loads only for the current project.
+
+To load the server in every project for your user, set the scope to `user`:
+
+```sh
+claude mcp add --transport http --scope user cloudflare-api https://mcp.cloudflare.com/mcp
+```
+
+## Authenticate with Cloudflare
+
+Start Claude Code, run `/mcp`, and select `cloudflare-api`. Follow the browser prompt to sign in to Cloudflare and choose the permissions Claude Code can use.
+
+Claude Code stores and refreshes the OAuth credentials. They do not need to be added to a project file.
+
+## Share the configuration with a project
+
+Use project scope when everyone working in a repository should receive the same server configuration:
+
+```sh
+claude mcp add --transport http --scope project cloudflare-api https://mcp.cloudflare.com/mcp
+```
+
+This creates or updates `.mcp.json` in the project root:
+
+```json
+{
+  "mcpServers": {
+    "cloudflare-api": {
+      "type": "http",
+      "url": "https://mcp.cloudflare.com/mcp"
+    }
+  }
+}
+```
+
+Keep `"type": "http"` when editing the file manually. Without it, Claude Code does not treat the URL as a remote HTTP server. Claude Code asks each user to approve project-scoped servers before connecting.
+
+## Verify the connection
+
+Check the saved configuration from your terminal:
+
+```sh
+claude mcp get cloudflare-api
+```
+
+Within Claude Code, run `/mcp` to check the connection or repeat the OAuth flow. If the server is missing, confirm that the configuration uses the exact URL `https://mcp.cloudflare.com/mcp` and includes `"type": "http"`.
+
+For details about configuration scopes and MCP commands, refer to the [Claude Code MCP documentation](https://code.claude.com/docs/en/mcp).