Reorganize .gitignore and update dependencies

- Alphabetize .gitignore entries for better maintainability
- Add package-lock.json to .gitignore (npm equivalent of pnpm-lock.yaml)
- Add @david/dax to shared imports in deno.json
- Update deno task install to run dependency update script
- Update deno.lock with latest dependency versions

Co-Authored-By: Claude <noreply@anthropic.com>