test(mcp): stabilize lsp builtin and doctor checks

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

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

src/mcp/zauc-mocks-mcp-index/index.test.ts

@@ -1,9 +1,16 @@
-import { describe, expect, test } from "bun:test"
-import { createBuiltinMcps } from "../index"
+import { afterEach, describe, expect, mock, test } from "bun:test"
+
+afterEach(() => {
+  mock.restore()
+})
 
 describe("createBuiltinMcps", () => {
   test("should return all MCPs when disabled_mcps is empty", () => {
     // given
+    mock.module("../lsp", () => ({
+      createLspMcpConfig: () => ({ type: "local", command: ["node", "dist/cli.js", "mcp"], enabled: true }),
+    }))
+    const { createBuiltinMcps } = require("../index") as typeof import("../index")
     const disabledMcps: string[] = []
 
     // when
@@ -19,6 +26,10 @@ describe("createBuiltinMcps", () => {
 
   test("should filter out disabled MCPs", () => {
     // given
+    mock.module("../lsp", () => ({
+      createLspMcpConfig: () => ({ type: "local", command: ["node", "dist/cli.js", "mcp"], enabled: true }),
+    }))
+    const { createBuiltinMcps } = require("../index") as typeof import("../index")
     const disabledMcps = ["websearch"]
 
     // when
@@ -33,6 +44,10 @@ describe("createBuiltinMcps", () => {
 
   test("should return empty array when all MCPs are disabled", () => {
     // given - disable all known MCPs
+    mock.module("../lsp", () => ({
+      createLspMcpConfig: () => ({ type: "local", command: ["node", "dist/cli.js", "mcp"], enabled: true }),
+    }))
+    const { createBuiltinMcps } = require("../index") as typeof import("../index")
     const disabledMcps = ["websearch", "context7", "grep_app", "lsp"]
 
     // when