feat(auth): implement better authentication system with user sessions and password management

- Added user, session, account, and verification models to Prisma schema.
- Integrated better-auth for user authentication with email and password.
- Created auth middleware for session validation.
- Implemented auth context and client in frontend for managing user sessions.
- Added login and settings pages for user authentication and password management.
- Updated routes to include authentication checks and user-specific content.
- Enhanced UI components to reflect authentication state.

apps/frontend/src/routes/_authenticated.tsx

@@ -0,0 +1,6 @@
+import { createFileRoute, Outlet } from "@tanstack/react-router";
+import { Layout } from "@/components/layout/Layout";
+
+export const Route = createFileRoute("/_authenticated")({
+  component: Layout,
+});