Arrow Up/Down keys now cycle through search matches while the input
is focused, matching the behavior of browser find-in-page. Navigation
buttons gain active:scale-95 press feedback and explicit sizing.
The right-side control region is now conditionally rendered: keyboard
hint (/) shows when empty, match count + nav + clear show when active.
A visual divider separates navigation arrows from the clear button.
The match count badge highlights the current position number with a
distinct weight.
Tests cover empty state visibility, active search state rendering,
arrow key and button navigation, and clear button behavior.
Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>