feat(firebase): Add Firebase SDK and initialize Analytics

This commit integrates the Firebase SDK into the application to enable Firebase services, starting with Google Analytics.

Key changes include:
- Added the `firebase` package as a dependency.
- Included Firebase project configuration variables in the production environment file.
- Created a new `firebase.ts` utility to centralize Firebase app initialization.
- Integrated the `FirebaseAnalytics` component into the root layout to enable analytics tracking across the entire application.

src/lib/api/types/User.ts

@@ -45,6 +45,7 @@ export const CreateAdminSchema = z.object({
 export const LoginCredentials = z.object({
   username: z.string(),
   password: z.string(),
+  device_token: z.string(),
 });
 export const AdminListResponse = z.object({
   users: z.array(UserSchema),