Add Biome linting, formatting, and CI quality checks

[baptistelaget]

Summary

• Biome v2 configured for linting, formatting, and import organization across all TypeScript, Vue, and JSON source files
• 8 new scripts in package.json: lint, lint:fix, format, format:check, check, check:fix, typecheck, check:docs
• Schema documentation checker (scripts/check-schema-docs.ts) that verifies every type and property has JSDoc descriptions
• CI workflow (.github/workflows/ci.yml) runs Biome check, TypeScript type check, and schema docs completeness on PRs and pushes to main
• One-time format pass applied across the codebase to establish a clean baseline

Key design decisions

• Allowlist approach in files.includes — only processes source files, not generated output
• Vue override disables noUnusedVariables for .vue files since Biome can't track template references
• Scripts override disables noExplicitAny for scripts/ where generation scripts legitimately cast JSON schema objects
• useImportType / useExportType enforced — critical for a types-only package
• node: protocol applied to all Node.js builtin imports

Test plan

• pnpm run check — 0 issues across 41 files
• pnpm run typecheck — passes
• pnpm run check:docs — all schema types and properties documented
• pnpm run docs:build — builds successfully

🤖 Generated with Claude Code

[github-actions]

Preview deployed!
https://1-pr-preview.bind-standard.org