¿Puedo vibecodear pbmate.ro?

Build a personal Romanian maths practice trainer in an empty folder.
Stack: Next.js 15 (App Router), TypeScript, SQLite via better-sqlite3, Tailwind, KaTeX. Do not offer alternatives.
Problems live as Markdown files in content/problems, one per file, with frontmatter: id, chapter, grade, difficulty 1 to 5, statement, four options, correctIndex, hints (up to three, ordered nudge -> method -> setup), solution.
Write `npm run import` to validate every file into SQLite, failing loudly on a missing correctIndex, an out-of-range difficulty, an unknown chapter, or a hint containing the final answer as a substring.
Ship exactly three seed problems as format examples plus a chapters.json for one grade, taken from the official programa. Generate no problems yourself.
Practice loop: pick a chapter, get five problems ordered easy to hard, answer, then reveal hints one at a time before the solution.
Record every attempt (problem id, chosen option, correct, seconds, hints used) in SQLite.
Show a per-chapter mastery bar from the last twenty attempts on that chapter and a weak-chapters list. No streaks, no badges, no daily guilt.
Add `npm run drill` that serves only problems previously answered wrong.
Render maths with KaTeX inline and display, and verify the seed problems render before you finish.
Handle Romanian diacritics correctly in the files and the UI.
Add `npm run export` writing all attempts to CSV, and keep every byte on the local disk.
If ANTHROPIC_API_KEY is set in .env, add an optional `npm run draft -- paper.pdf` that turns an exam PDF into draft Markdown in content/drafts, never imported until a human moves the file, and print a warning that the answer key is unverified.
Secrets in .env, ship .env.example, commit neither.
Test the importer validation rules and one end-to-end five-problem session.
Write a README covering setup, the problem file format, and how to add a chapter.
Leave out: accounts, payments, hosting, telemetry, parent and teacher views, a mobile app, and anything claiming to grade a real exam.
Finish by running the import and the tests, then print the exact commands used.