Replace ad-hoc useState/useEffect fetch patterns with Jotai atoms and
loadables in StatsDisplay, FilterableTitleRow, BackupScheduleSection,
IntegrationsSection, and CommandPalette. Each component now gets a
scoped Jotai Provider with a pre-initialized store so server-rendered
initial values hydrate correctly. Async data fetching moves into
atom-level loadables, eliminating manual loading flags and cancellation
logic throughout.
