A todo list app where I can add tasks, mark them complete with a checkbox, and delete them. Tasks should be saved so they're still there when I reopen the app.

Add a text field at the top with a placeholder "Add a new task..." and an "Add" button next to it. When I tap Add or press return, it should add the task to the list and clear the text field.

Add a checkbox circle to the left of each task. When I tap it, the checkbox fills in and the task text gets a strikethrough. Completed tasks should stay in the list but look different.

Add swipe-to-delete on each task. When I swipe left, show a red Delete button. Tapping it removes the task from the list.

Add a trash icon button on the right side of each task that deletes it when tapped.

Save all tasks locally using SwiftData so they persist between app launches. Tasks should be there when I close and reopen the app.

Polish the design:
- Add padding around the list
- Make task rows have a white background with rounded corners and subtle shadow
- Add a header that says "My Tasks" in large bold text
- Show a count of incomplete tasks under the header like "3 tasks remaining"

Add optional due dates to tasks:
- Tap a task to open a detail view
- In the detail view, show a date picker to set a due date
- Display the due date under the task title in the list
- Show overdue tasks in red

Add categories to tasks:
- Categories: Work, Personal, Shopping, Other
- Show a small colored dot next to each task indicating its category
- Add a filter at the top to show only tasks from a specific category