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.

packages/ui/package.json

@@ -4,7 +4,6 @@
   "type": "module",
   "private": true,
   "scripts": {
-    "format": "prettier --write \"**/*.{ts,tsx}\"",
     "typecheck": "tsc --noEmit"
   },
   "dependencies": {
@@ -31,7 +30,6 @@
   },
   "devDependencies": {
     "@tailwindcss/vite": "^4",
-    "@turbo/gen": "^2.9.15",
     "@types/node": "^24",
     "@types/react": "^19",
     "@types/react-dom": "^19",