[Api Node] Firebase auth and user auth store (#3467)

package.json

@@ -91,6 +91,7 @@
     "algoliasearch": "^5.21.0",
     "axios": "^1.8.2",
     "dotenv": "^16.4.5",
+    "firebase": "^11.6.0",
     "fuse.js": "^7.0.0",
     "jsondiffpatch": "^0.6.0",
     "lodash": "^4.17.21",
@@ -103,6 +104,7 @@
     "vue": "^3.5.13",
     "vue-i18n": "^9.14.3",
     "vue-router": "^4.4.3",
+    "vuefire": "^3.2.1",
     "zod": "^3.23.8",
     "zod-validation-error": "^3.3.0"
   }