chore: fix monorepo build pipeline and migrate shared to built package

- Root package.json: add workspace scripts (dev, build, test, test:cov, test:e2e)
  that delegate to actual scripts in shared/server/client workspaces
- shared: add tsup build step (CJS + ESM dual output, .d.ts); consumers now import
  from the built dist instead of raw TS source via path aliases
- server: replace tsc-alias with tsconfig-paths (tsc-alias mangled node_modules
  paths); fix MCP SDK path aliases to point to root node_modules (../node_modules)
- server/scripts/dev.mjs: delay node --watch until tsc -w signals first-pass done,
  eliminating the spurious restart on every dev startup
- client/vite.config.js + vitest.config.ts: remove @trek/shared path alias (no longer
  needed now that shared is a proper package)
- Consolidate package-lock.json at the workspace root; drop per-workspace lock files

server/package.json

@@ -1,13 +1,16 @@
 {
-  "name": "trek-server",
+  "name": "@trek/server",
   "version": "3.0.22",
   "main": "src/index.ts",
   "scripts": {
-    "start": "node dist/index.js",
+    "start": "node --require tsconfig-paths/register dist/index.js",
     "dev": "node scripts/dev.mjs",
     "build": "node scripts/build.mjs",
-    "start:prod": "node dist/index.js",
-    "typecheck": "tsc -p tsconfig.build.json --noEmit",
+    "start:prod": "node --require tsconfig-paths/register dist/index.js",
+    "typecheck": "tsc --noEmit",
+    "format": "prettier --write \"src/**/*.ts\" \"test/**/*.ts\"",
+    "format:check": "prettier --check \"src/**/*.ts\" \"test/**/*.ts\"",
+    "lint": "eslint \"{src,apps,libs,test}/**/*.ts\" --fix",
     "test": "vitest run",
     "test:watch": "vitest",
     "test:unit": "vitest run tests/unit",
@@ -18,6 +21,8 @@
     "test:coverage": "vitest run --coverage"
   },
   "dependencies": {
+    "@trek/shared": "*",
+    "tsconfig-paths": "^4.2.0",
     "@modelcontextprotocol/sdk": "^1.28.0",
     "@nestjs/common": "^11.1.24",
     "@nestjs/core": "^11.1.24",
@@ -60,6 +65,13 @@
     "file-type": "^21.3.4"
   },
   "devDependencies": {
+    "@trivago/prettier-plugin-sort-imports": "^6.0.2",
+    "eslint-config-prettier": "^10.0.1",
+    "eslint-plugin-prettier": "^5.2.2",
+    "prettier": "^3.8.3",
+    "prettier-plugin-organize-imports": "^4.3.0",
+    "eslint": "^9.18.0",
+    "eslint-config-flat-gitignore": "^2.3.0",
     "@nestjs/testing": "^11.1.24",
     "@swc/core": "^1.15.40",
     "@types/archiver": "^7.0.0",
@@ -82,7 +94,6 @@
     "@vitest/coverage-v8": "^3.2.4",
     "nodemon": "^3.1.0",
     "supertest": "^7.2.2",
-    "tsc-alias": "^1.8.17",
     "tz-lookup": "^6.1.25",
     "unplugin-swc": "^1.5.9",
     "vitest": "^3.2.4"