Can I vibecode Rise Calendar?

Build a modern, AI-powered time blocking substitute for Rise Calendar in an empty repository.
Use exactly this stack: Next.js 15, TypeScript, PostgreSQL, Drizzle ORM, and Google Calendar OAuth.
The primary job is to create a unified productivity hub that harmonizes task management and intelligent scheduling within a highly visual, keyboard-first calendar canvas.

Core features to implement:
1. Smart Time Blocking (FocusGuard): Implement a feature that automatically identifies open periods in the calendar and reserves "Focus Blocks" to proactively protect deep work time from being booked.
2. Unified Project Boards: Create a seamless interface where tasks and to-do items can be dragged and dropped directly onto the calendar canvas, turning tasks into concrete time slots.
3. "My Focus" Dashboard: Build a dedicated view that combines today's upcoming meetings and high-priority tasks in a single pane of glass to eliminate context switching.
4. Intelligent Scheduling Engine: Connect Google Calendar via OAuth to read free/busy times. Build a mechanism to suggest optimal meeting times based on user constraints and existing focus blocks.
5. Minimalist UI: Design a premium, aesthetically pleasing interface with extensive keyboard shortcut support to reduce friction in schedule management.

Technical constraints:
- Make the default mode single-user and private. Store user data locally unless the core job requires the declared database.
- Put every secret and external credential in .env and provide .env.example. Use realistic, labelled sample data.
- Do not add analytics, telemetry, or a hosted control plane.
- Implement the smallest polished interface that completes the core loop end to end, with clear empty, loading, validation, success, and failure states.
- Ensure accessible keyboard navigation and sensible contrast. Validate untrusted input securely.
- Deliberately exclude complex multi-user conflict resolution, external Slack/project management integrations, and enterprise team features.
- Write focused unit tests for the task-to-calendar sync and one end-to-end smoke test for the focus block generation.
- Create a detailed README with setup, permissions, architecture, and limitations. Add standard npm scripts.