sangvaleap/app-flutter-hotel-booking ? reverse-engineered prompt

Build me a Flutter hotel booking app that matches the clean mobile UI shown in the README screenshots. I want an app where people can browse hotels, see room details, view photos and prices, pick dates, choose guests, and go through a simple booking flow all the way to a confirmation screen.

Please make it feel polished and modern, with smooth navigation, nice cards, clear typography, and a layout that works well on different phone sizes. Use realistic sample content if needed so the app feels complete even without a backend. If there are any setup details or current Flutter best practices I should follow, look up the latest docs online and use those. I mainly want a finished looking hotel booking experience that I can run, click through, and use as a strong starting point for a real travel app.