chore: add firebase dependency to package.json

nuxt.config.ts

@@ -8,4 +8,15 @@ export default defineNuxtConfig({
   vite: {
     plugins: [tailwindcss()],
   },
+  runtimeConfig: {
+    public: {
+      firebaseApiKey: process.env.FIREBASE_API_KEY,
+      firebaseAuthDomain: process.env.FIREBASE_AUTH_DOMAIN,
+      firebaseProjectId: process.env.FIREBASE_PROJECT_ID,
+      firebaseStorageBucket: process.env.FIREBASE_STORAGE_BUCKET,
+      firebaseMessagingSenderId: process.env.FIREBASE_MESSAGING_SENDER_ID,
+      firebaseAppId: process.env.FIREBASE_APP_ID,
+      backendUrl: process.env.BACKEND_URL || 'http://localhost:3000'
+    }
+  }
 });