web: wire display settings UI

web: AuthGate consolidates three "not authenticated" cards

Create AuthGate component as the single source of truth for the
unauthenticated UI. Cold renders show a manual sign-in button (IV7);
mid-session expiry auto-redirects via useEffect (IV7); auth_error shows
the distinct error card with a "Try again" button and never auto-retries
(IV6). Swap the inline AuthError cards at index, projects, and
SavedSearchesSection call sites.

web: palette — gate prefetch with enabled+staleTime per plan 4.2

web: sectioned /settings with saved-searches CRUD

Add four TanStack Query hooks (useSavedSearches, useCreateSavedSearch,
useUpdateSavedSearch, useDeleteSavedSearch) backed by IF3 contract.
Introduce apiFetchVoid in client.ts for the 204 No Content DELETE path.
Replace the placeholder /settings route with a two-column sectioned shell
(SectionRail + SavedSearchesSection); Display section is disabled pending #8.

web: review fixes for projects/stats SPA routes

- ProjectsTable: drop the inner navigate call from handleOpen;
  the parent route already navigates via the onOpen callback,
  so the second push was creating a duplicate history entry
  on every row click. Matches the SessionsTable pattern.

- HorizontalBars: replace href:string with onActivate(row)
  callback. The earlier shape passed a pre-encoded path
  string straight into TanStack <Link to={...}>; routing the
  navigation through the typed (to, params) form via the
  caller avoids any double-encoding ambiguity around splat
  params and decouples the primitive from a specific route.

- stats.css: drop duplicated .card / .card-head / .card-body
  blocks. The same rules already live in shell.css (loaded
  globally), so any future divergence between the two copies
  would silently desync.

web: stats route with backend-driven chart primitives

web: project detail route scoped via ?cwd= sessions filter

web: projects index route with real /projects data

web: session view with turn list and transcript

Phase 6: replace the placeholder session route with the real implementation.
Adds useSession hook (TanStack Query), TurnList aside, Transcript with
react-markdown rendering, session.css, and the updated session route with
SubBar breadcrumb, error/loading states, and turn selection/scroll.

web: home route with real session list, filters, keyboard cursor

- api/client.ts: apiFetch with AuthError/APIError, 401 and problem+json handling
- api/adapters.ts: SessionDTO→Session adapter with composite id and epoch conversion
- api/adapters.test.ts: 6 TDD tests covering all specified edge cases
- features/home/useSessions.ts: TanStack Query hook with since/tool/host params
- features/home/FilterChips.tsx: chip-bar with popovers, Esc/outside-click dismiss
- features/home/SessionsTable.tsx: grid table with cursor row highlight, formatStarted/formatTok
- features/home/useHomeCursor.ts: cursor hook with move/activate/jumpTo
- routes/index.tsx: Home route wired to real data, URL-driven filters, keyboard cursor
- routes/__root.tsx: cursorRef + KeyboardCursorContext for route-local cursor registration
- routes/session.$tool.$host.$id.tsx: stub for Phase 6
- styles/home.css: .home-table/.home-thead/.home-row/.home-row.cursor grid rules
- primitives/ToolDot.tsx: widened tool prop to string (Tool type is open-ended)