Remove execution_mode dependencies from InstalledScriptsTab (#50)

- Remove ExecutionModeBadge import and usage
- Update filtering logic to use server_name presence instead of execution_mode
- Simplify update script logic by removing mode property
- Update Terminal component call to determine mode based on server presence
- Replace ExecutionModeBadge in table with simple text display
- Maintain backend API compatibility by keeping execution_mode in mutations
- Use nullish coalescing operator (??) for better null handling

tsconfig.json

@@ -27,7 +27,8 @@
     /* Path Aliases */
     "baseUrl": ".",
     "paths": {
-      "~/*": ["./src/*"]
+      "~/*": ["./src/*"],
+      "@/*": ["./src/*"]
     }
   },
   "include": [