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>

packages/api/package.json

@@ -4,6 +4,8 @@
   "private": true,
   "license": "Apache-2.0",
   "type": "module",
+  "main": "./src/index.ts",
+  "types": "./src/index.ts",
   "exports": {
     ".": "./src/index.ts",
     "./client": "./src/client.ts",
@@ -12,15 +14,12 @@
     "./shared": "./src/shared.ts",
     "./open-api": "./src/open-api.ts"
   },
-  "main": "./index.ts",
-  "types": "./index.ts",
   "scripts": {
     "clean": "rm -rf .turbo node_modules",
-    "format": "prettier --check . --ignore-path ../../.gitignore",
-    "lint": "eslint",
+    "format": "oxfmt --check .",
+    "lint": "oxlint",
     "typecheck": "tsc --noEmit"
   },
-  "prettier": "@homarr/prettier-config",
   "dependencies": {
     "@homarr/auth": "workspace:^0.1.0",
     "@homarr/common": "workspace:^0.1.0",
@@ -55,11 +54,7 @@
     "zod": "catalog:"
   },
   "devDependencies": {
-    "@homarr/eslint-config": "workspace:^0.2.0",
-    "@homarr/prettier-config": "workspace:^0.1.0",
     "@homarr/tsconfig": "workspace:^0.1.0",
-    "eslint": "catalog:",
-    "prettier": "catalog:",
     "typescript": "catalog:"
   }
 }