Restructure the profiles card header so row 1 holds only the title
and action buttons (no more competing badge space), and row 2 is a
single flex-wrap group for admit/source/readonly badges — wraps
cleanly without colliding with any other element.
Also insert zero-width spaces after underscores in definition field
labels so long snake_case keys wrap at _ boundaries instead of
splitting mid-word, with title tooltip for the full key.