fix(doctor): list all built-in MCP servers

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent)

Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>

src/cli/doctor/checks/tools-mcp.ts

@@ -5,7 +5,7 @@ import { join } from "node:path"
 import type { McpServerInfo } from "../types"
 import { parseJsonc } from "../../../shared"
 
-const BUILTIN_MCP_SERVERS = ["context7", "grep_app"]
+const BUILTIN_MCP_SERVERS = ["websearch", "context7", "grep_app", "lsp", "ast_grep"]
 
 interface McpConfigShape {
   mcpServers?: Record<string, unknown>