Can I vibecode Paperpal?

Create a highly specialized AI academic writing assistant tailored for researchers and students, serving as a self-hosted alternative to Paperpal.
Key Features to Include:
1. Tech Stack: Next.js with TypeScript, SQLite (or PostgreSQL), and integration with a customizable local LLM (via Ollama or Llama.cpp) or a cloud API (like OpenAI) tuned for academic writing.
2. Academic Language & Grammar Enhancement: Build a text editor that provides real-time, in-depth feedback on grammar, spelling, and punctuation, specifically focused on maintaining an objective, academic tone and vocabulary.
3. Writing Tools & Generation: Implement features to help overcome writer's block by generating structured outlines, abstracts, and summaries based on user prompts or rough notes.
4. Paraphrasing & Rewriting: Include a targeted rewriting tool that improves sentence flow, reduces word count, or adjusts tone while preserving the original research context.
5. Submission Readiness Checks: Create a basic pre-submission checklist module that scans for common journal requirements (e.g., structure, missing citations).
6. Research Integration (Chat with PDF): Allow users to upload reference PDFs and use the AI to ask questions, extract key findings, and generate citations.
7. Markdown Export: Ensure all written content and AI-generated text can be exported to standard Markdown or DOCX formats for final formatting.
Keep the app entirely private, ensuring no research data is sent to external servers unless explicitly configured via API. Exclude deep MS Word plugin integrations, proprietary brand-trained models, and institutional governance tools.