Picking a model closed the menu and then flashed the pill's tooltip over
the fresh selection. The existing focus guard gated on `:focus-visible`
alone, which does not separate a mouse pick from a Tab: the dropdown
autofocuses its search field and keyboard-navigates its rows, so Chromium
is already in keyboard modality when the menu restores focus to the
trigger, and the guard never fired.
Track the device behind the last real interaction and use it to qualify
`:focus-visible`. A mouse pick reports `pointer` and stays silent; Tab
focus still opens the tip.
