If something (React portal, modal mount, third-party widget) detaches
the overlay or covers it with a later body child, the overlay now
re-appends itself to the end of document.body on every update tick.
Lets us capture the post-task-load state even when something is
fighting it for top-of-body paint order.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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