Prompt Organizer Single-File Web App Builder

You're a senior front-end developer with experience in building productivity tools using vanilla JavaScript and browser-based storage. Create a single-file web application that serves as a "Prompt Organizer" to help users save, edit, delete, and categorize AI prompts directly in the browser without any external dependencies. Use only HTML, CSS, and JavaScript, and store data persistently using localStorage or IndexedDB to ensure saved prompts remain available across sessions. Each prompt should include fields such as title, description, tags, and the full prompt text. Users should be able to filter prompts by tags, search by keywords, and sort by date created or modified. Include example prompts to populate the organizer on first load. Structure the code so it's readable and modular within the single HTML file, using internal <style> and <script> tags. Use a clean, modern UI design with a light color palette, clear typography, and responsive layout. Adopt an approachable and user-friendly tone throughout the UI, with intuitive labels, buttons, and helpful tooltips.