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-lock.json

@@ -20,6 +20,8 @@
         "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",
@@ -48,7 +50,6 @@
         "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",
@@ -10116,7 +10117,6 @@
       "version": "1.58.2",
       "resolved": "https://registry.npmjs.org/playwright/-/playwright-1.58.2.tgz",
       "integrity": "sha512-vA30H8Nvkq/cPBnNw4Q8TWz1EJyqgpuinBcHET0YVJVFldr8JDNiU9LaWAE1KqSkRYazuaBhTpB5ZzShOezQ6A==",
-      "dev": true,
       "license": "Apache-2.0",
       "dependencies": {
         "playwright-core": "1.58.2"
@@ -10135,7 +10135,6 @@
       "version": "1.58.2",
       "resolved": "https://registry.npmjs.org/playwright-core/-/playwright-core-1.58.2.tgz",
       "integrity": "sha512-yZkEtftgwS8CsfYo7nm0KE8jsvm6i/PTgVtB8DL726wNf6H2IMsDuxCpJj59KDaxCtSnrWan2AeDqM7JBaultg==",
-      "dev": true,
       "license": "Apache-2.0",
       "bin": {
         "playwright-core": "cli.js"