feat: nuxt basics

front-nuxt/package.json

@@ -13,9 +13,11 @@
     "@nuxt/eslint": "^1.9.0",
     "@nuxt/image": "^1.11.0",
     "@nuxt/test-utils": "^3.19.2",
+    "@pinia/nuxt": "^0.11.2",
     "@xstate/vue": "^5.0.0",
     "eslint": "^9.36.0",
     "nuxt": "^4.1.2",
+    "pinia": "^3.0.3",
     "vue": "^3.5.21",
     "vue-router": "^4.5.1",
     "xstate": "^5.22.0"