feat(island): the island window on DP-1

A fixed overlay strip that never resizes: the pills animate inside it and
the input mask follows their rectangles, so resizing a layer surface during
a morph never happens. Hidden behind a sliver that also carries the privacy
colours; the clock pill drops alone for a workspace or app-open flick.

shell.qml gains the UseQApplication pragma, which tray menus need, and the
island holds itself shown while a tray menu is open, since the menu is a
separate popup that would otherwise un-hover the pills and let the hide
timer fire. The hold ends at the next hover.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

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