fix(ui): ui4 paper cuts and improvements (#16749)

### Changes

- **Fixed popup button active states** - Added visual feedback when
popup menus are open. Document controls and array/block action buttons
now show a selected state while their popup is active.

- **Fixed document header tab active states** - Active tabs now properly
display with correct text color, and the versions pill badge updates
correctly on hover/active.

- **Fixed list view tab active states** - Collection list tabs (All
Documents, In Folder, etc.) now show proper active state styling with
correct text color.

- **Separated hierarchy search filter from input** - Filter button is
now rendered as a standalone icon button outside the search input, with
a badge indicator when filters are active.

- **Redesigned Type filter to match Query Presets** - Type filter now
uses the same visual pattern as Query Presets: FilterIcon on the left
with badge cutout indicator, clearable via X button when filters are
active.

- **Added FilterTrigger component** - New shared component that
encapsulates the filter button + clear button pattern used by both Query
Presets and Type filter, ensuring visual consistency.

- **Fixed nested button DOM errors** - Removed CheckboxPopup component
and refactored TypeFilter to use Popup with `renderButton` pattern,
eliminating invalid nested `<button>` elements.