chore: remove unused dependencies and stale CI script

Drop @radix-ui/react-avatar, lucide-react, zustand, and puppeteer
(none imported), remove the orphaned scripts/run-tests-ci.js and its
test:ci npm script, and refresh package-lock.json.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

Author: kevinccbsg