toofansingh46/eternity-hospital ? reverse-engineered prompt

Build me a hospital management system demo called Eternity that feels polished and actually works end to end.

It should have a nice landing page, a login screen, and then a dashboard after sign in. From there I want to manage patients, doctors, appointments, and billing. Patients should be able to be registered, show up in a searchable list, and have their own profile page with their appointments and invoices. Booking an appointment should be simple, and if I start from a patient page it should prefill that patient automatically. Billing should calculate totals clearly and save the invoice so it shows up in the patient record and the dashboard stats.

I also want real login protection, session handling, and a backend with a database so the data is not just fake on the screen. Please include some seeded demo data and two sample logins, one for admin and one for receptionist, so I can test everything quickly. If you need current docs for any library details, look them up online.