chore(web): regenerate projects.json with paper_reviewer successes

Picks up the 8 previously-failing arxiv-intake papers (PROJ-564, 565,
566, 568, 570, 571, 576, 578) — all now have substantive 13-specialist
reviews after PR #197 fixed the LaTeX-prompt truncation bug.

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

Author: jeremymanning