build: migrate workspace tooling to Oxc

Replace Turbo task orchestration with Bun workspace scripts and remove the Prettier configuration. Add Oxlint and Oxfmt project configuration, including Tailwind class sorting, generated-file exclusions, and unified check/fix commands. Apply the new formatter and resolve Hook dependency errors surfaced by Oxlint.

.oxlintrc.json

@@ -0,0 +1,33 @@
+{
+  "$schema": "./node_modules/oxlint/configuration_schema.json",
+  "categories": {
+    "correctness": "error",
+    "perf": "warn",
+    "suspicious": "warn"
+  },
+  "ignorePatterns": [
+    ".i18n/**",
+    "**/.output/**",
+    "**/coverage/**",
+    "**/dist/**",
+    "apps/web/src/locales/**/messages.ts",
+    "apps/web/src/route-tree.gen.ts"
+  ],
+  "options": {
+    "reportUnusedDisableDirectives": "warn"
+  },
+  "rules": {
+    "react/react-in-jsx-scope": "off",
+    "vitest/expect-expect": "off",
+    "vitest/require-mock-type-parameters": "off"
+  },
+  "plugins": [
+    "eslint",
+    "typescript",
+    "unicorn",
+    "oxc",
+    "react",
+    "import",
+    "vitest"
+  ]
+}