Separate Prettier and ESLint according to best practices (#9565)

* Separate Prettier and ESLint according to best practices

- Create standalone .prettierrc configuration file
- Remove eslint-plugin-prettier integration from ESLint config
- Replace with eslint-config-prettier to disable conflicting rules
- Remove eslint-plugin-prettier dependency
- Add dedicated format and format:check scripts
- Update lint-staged to run Prettier and ESLint separately
- Format entire codebase with new Prettier configuration

This follows the recommended approach from Prettier documentation:
https://prettier.io/docs/integrating-with-linters#notes

* Remove test comment

---------

Co-authored-by: codegen-sh[bot] <131295404+codegen-sh[bot]@users.noreply.github.com>

tsconfig.json

@@ -9,12 +9,7 @@
     "isolatedModules": true,
     "baseUrl": ".",
     "jsx": "react-jsx",
-    "lib": [
-      "dom",
-      "es2020",
-      "dom.iterable",
-      "esnext.asynciterable"
-    ],
+    "lib": ["dom", "es2020", "dom.iterable", "esnext.asynciterable"],
     "module": "esnext",
     "moduleResolution": "node",
     "noErrorTruncation": true,
@@ -30,20 +25,10 @@
     "ignoreDeprecations": "5.0",
     "target": "es2020",
     "paths": {
-      "@server/*": [
-        "./server/*"
-      ],
-      "@shared/*": [
-        "./shared/*"
-      ],
-      "~/*": [
-        "./app/*"
-      ]
+      "@server/*": ["./server/*"],
+      "@shared/*": ["./shared/*"],
+      "~/*": ["./app/*"]
     }
   },
-  "exclude": [
-    "node_modules",
-    "build",
-    "server/migrations"
-  ]
-}
+  "exclude": ["node_modules", "build", "server/migrations"]
+}