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.

package.json

@@ -3,15 +3,18 @@
   "version": "0.0.1",
   "private": true,
   "scripts": {
-    "build": "turbo build",
-    "dev": "turbo dev",
-    "format": "turbo format",
-    "typecheck": "turbo typecheck"
+    "build": "bun run --filter web build",
+    "check": "bun run format:check && bun run lint && bun run typecheck",
+    "dev": "bun run --filter web dev",
+    "format": "oxfmt apps packages package.json tsconfig.json .oxlintrc.json .oxfmtrc.json",
+    "format:check": "oxfmt --check apps packages package.json tsconfig.json .oxlintrc.json .oxfmtrc.json",
+    "lint": "oxlint .",
+    "lint:fix": "oxlint --fix .",
+    "typecheck": "bun run --workspaces typecheck"
   },
   "devDependencies": {
-    "prettier": "^3.8.3",
-    "prettier-plugin-tailwindcss": "^0.8.0",
-    "turbo": "^2.9.18",
+    "oxfmt": "^0.61.0",
+    "oxlint": "^1.76.0",
     "typescript": "~6"
   },
   "packageManager": "bun@1.3.5",