refactor: replace ESLint + Prettier with OXC (oxlint + oxfmt) (#5741)

Co-authored-by: Meier Lukas <meierschlumpf@gmail.com>
Co-authored-by: Meierschlumpf <63781622+Meierschlumpf@users.noreply.github.com>

turbo.json

@@ -22,13 +22,11 @@
     },
     "format": {
       "inputs": ["$TURBO_DEFAULT$"],
-      "outputs": ["node_modules/.cache/.prettiercache"],
       "outputLogs": "new-only"
     },
     "lint": {
       "dependsOn": ["^topo"],
-      "inputs": ["$TURBO_DEFAULT$"],
-      "outputs": ["node_modules/.cache/.eslintcache"]
+      "inputs": ["$TURBO_DEFAULT$"]
     },
     "typecheck": {
       "dependsOn": ["^topo"],