Achyuth072/kagelin ? reverse-engineered prompt

Build me a calm, ink and matte style productivity app called Kagelin. I want it to feel like a private all in one workspace for tasks, habits, focus, and calendar, with an installable PWA that works fully offline in guest mode and does not force sign up.

The main experience should include a task board and list, quick search, keyboard shortcuts, drag and drop, recurring tasks, notes with simple formatting, a focus timer with Pomodoro style sessions, habit tracking with streaks and a heatmap, and a calendar with month and week style views plus quick event creation. It should also support syncing with a personal WebDAV server, Google Calendar, and Microsoft Outlook, and let people import and export calendar files.

Make it polished, responsive, and easy to use on desktop and mobile, with privacy first defaults, local data storage for guest mode, and account support only if needed for sync. If anything is unclear, look up the current docs online and keep the app simple and reliable.