feat(playwright): enable Playwright in production builds with custom browser path

Move Playwright from dev to production dependencies and implement robust browser
management for company deployment environment:

- Move playwright and playwright-core to dependencies
- Set PLAYWRIGHT_BROWSERS_PATH to user data directory before imports
- Add startup validation for Chromium browser with friendly error dialog
- Update build scripts to skip browser download during build process
- Configure electron-builder to unpack Playwright for native module access
- Add deployment documentation for browser setup in restricted environments

This allows manual browser installation in company environments where direct
downloads are blocked during build.

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>

package.json

@@ -15,8 +15,8 @@
     "dev": "chcp 65001 && electron-vite dev",
     "build": "chcp 65001 && npm run typecheck && electron-vite build",
     "postinstall": "electron-builder install-app-deps",
-    "build:unpack": "chcp 65001 && npm run build && electron-builder --dir",
-    "build:win": "chcp 65001 && npm run build && electron-builder --win",
+    "build:unpack": "chcp 65001 && set PLAYWRIGHT_SKIP_BROWSER_DOWNLOAD=1 && npm run build && electron-builder --dir",
+    "build:win": "chcp 65001 && set PLAYWRIGHT_SKIP_BROWSER_DOWNLOAD=1 && npm run build && electron-builder --win",
     "build:mac": "chcp 65001 && electron-vite build && electron-builder --mac",
     "build:linux": "chcp 65001 && electron-vite build && electron-builder --linux",
     "test": "vitest",
@@ -40,6 +40,8 @@
     "lucide-react": "^0.575.0",
     "mssql": "^12.2.0",
     "mysql2": "^3.18.2",
+    "playwright": "^1.58.2",
+    "playwright-core": "^1.58.2",
     "reflect-metadata": "^0.2.2",
     "typeorm": "^0.3.28",
     "uuid": "^13.0.0",
@@ -68,7 +70,6 @@
     "eslint-plugin-react": "^7.37.5",
     "eslint-plugin-react-hooks": "^7.0.1",
     "eslint-plugin-react-refresh": "^0.4.24",
-    "playwright": "^1.58.2",
     "postcss": "^8.5.6",
     "prettier": "^3.7.4",
     "react": "^19.2.1",