Fix playground inconsistencies: update index.html links, convert broken pages to interactive format

Agent-Logs-Url: https://github.com/githubnext/tsessebe/sessions/6e45fe33-bdb3-45cd-a0c8-647b5aa3a99f

Co-authored-by: mrjf <180956+mrjf@users.noreply.github.com>

Author: Copilot