Move backups into the settings pages

Admin settings gains a super-admin Backups page at
/admin/settings/backups, with restore nested at .../backups/restore.
Both use SettingsShell and SettingsGroup like the other settings sub
pages instead of the retired admin hero.

AGENTS.md

@@ -54,7 +54,7 @@ Inspect live data with `bun llm-code-assistant/query-db.ts "<sql>"` - a read-onl
 ### Auth
 
 - **Auth guard:** `src/pages/__root.server.ts` - server function that runs on every request.
-    - No public pages: anything outside the live admin sections (`AdminSections` in `src/dict/admin-sections-dict.ts`: `/admin/bots`, `/admin/workspaces`, `/admin/routines`, `/admin/logs`, `/admin/help`, `/admin/settings`) and `/auth` redirects to `AdminHomePath` (`/admin/bots`). `/admin` itself only redirects there. People and backups exist in code but are closed until added back to `AdminSections`
+    - No public pages: anything outside the live admin sections (`AdminSections` in `src/dict/admin-sections-dict.ts`: `/admin/bots`, `/admin/workspaces`, `/admin/routines`, `/admin/logs`, `/admin/help`, `/admin/settings`) and `/auth` redirects to `AdminHomePath` (`/admin/bots`). `/admin` itself only redirects there. People exists in code but is closed until added back to `AdminSections`
     - No users at all: everything redirects to `/auth/signup` (first-run super admin setup, `grabHasUsers`); once a user exists `/auth/signup` redirects away
     - Redirects unauthenticated `/admin/*` → `/auth/login`
     - Unknown `/admin/settings/*` pages (not in `SettingsPages`, `src/utils/is-unknown-settings-path.ts`) redirect to `/admin/settings/general`
@@ -158,7 +158,7 @@ Live routes under `/admin` (see `AdminSections`): `/admin/bots`, `/admin/workspa
 - `/admin/logs` (live) - Activity, the audit log: super admins only (others are redirected; the popover's "Activity" item shows to super admins only). Rendered in `SettingsShell` with `wide`
 - `/admin/help` (live) - familiar problems and their fixes, one `SettingsGroup` per topic (`(data)/help-topics.ts`, markdown rendered with the chat's `MessageMarkdownComponents`, the topic id as the group's anchor). First topic: signing in to Google and other strict sites with Cookie-Editor over the Desktop view (`HelpSignInTopicId` in `src/dict/help-dict.ts`; `ask_user_to_take_over` points bots to it)
 - Routines, Activity and Help are the `RailPages` (`src/dict/rail-pages-dict.ts`), opened from the rail's user popover (which lists them, then Settings and Sign out). On them the rail shows its own aside (`(partials)/rail-pages-list.tsx`): a back link to the bots, then those pages, like settings
-- `/admin/backups` - super admin only: create/list/download database snapshots in `db/.backups`, plus `restore/` (restore a listed backup, or upload a SQLite database file which is saved to `.backups` then restored). Shells out to the `bun-sqlite` CLI (`backup`, and `import <file>` since `restore` is interactive) via `src/functions/backend/backups/`; API routes in `api/admin/backups/`
+- `/admin/settings/backups` - super admin only (listed in `SettingsPages`): create/list/download database snapshots in `db/.backups`, plus `restore/` (restore a listed backup, or upload a SQLite database file which is saved to `.backups` then restored). Shells out to the `bun-sqlite` CLI (`backup`, and `import <file>` since `restore` is interactive) via `src/functions/backend/backups/`; API routes in `api/admin/backups/`
 - `/admin/settings` (live) - redirects to `SettingsDefaultPath` (`/admin/settings/general`). Sub pages: `general/` (theme: System/Light/Dark per device via `useThemePreference`, stored in `localStorage[AppData.ThemeStorageKey]`, the same key `ThemeInitScript` and twui's `ColorSchemeSelector` read; applies instantly, no save bar), `profile/` (current user profile), `notifications/` (this device's Web Push switch, a test send, and every device the user subscribed), `change-password/` (set/change own password) `models/` (super admin only, `super_admin_only` in the dict hides it from the rail: model providers and which model each harness uses) and `environment/` (super admin only: app settings and the envs bots and computers use, per scope), each wrapped in `SettingsShell` (`(partials)/settings-shell.tsx`: 64px pane header like the conversation header, then one centered column). Content is built from `SettingsGroup` blocks (label + description left, controls right, hairline-separated, no cards) and ends with the sticky `SettingsSaveBar` (Save enabled only when dirty, Discard, one-line status). Saves don't reload the page. Keep save notices in component state: `useFormInit` clears `status` whenever the form changes. `bots/` (the crew: chat, edit with `BotForm`, models, delete a worker via `api/admin/bots/delete-bot`), `workspaces/` (open, create through the Add flow, delete), `computers/` (state and resources, live; super admins create, edit with `AddComputerForm`, retry, delete), `mcps/` and `tools/` (see MCPs and custom tools: super admins add, edit, refresh or try, delete; admins only set Access, `extension-access-modal.tsx`; add, edit, access and try open in modals (`AddModalShell`)), each row with a status line under it (`extension-status-line.tsx`: connected or not, last run worked or failed, when, and why), those five for `canManageCrew` only (`grab-crew-settings-server-props.ts`, `can_view` in the dict) and `users/` (for `canListUsers`: super admins and admins; the dict's `can_view` gates it in the rail; add with a password (`canCreateUser`), edit (`canUpdateUser`), both with the one `UserForm` (`admin/people/create/(partials)/user-form/`, `useFormInit`, photo included, saved in one request), revoke (adds `revoked`, `canRevokeUser`), delete (`canRevokeUser`'s rules, never yourself), pick their user types from `UserTypes` (`user-types-select.tsx`: only the ones `filterAssignableUserTypes` allows, never `UneditableUserTypes`; at least one, since login needs a type; `saveUser` checks each grant and removal with `userTypeAssignment`; the super admin's types are never shown or changed there, and they can't be revoked; the password is entered twice, `SaveUserRequestSchema` checks they match), delete with everything theirs; `api/admin/users/save-user`, `delete-user`). The lists share `SettingsList`, `SettingsListRow`, `SettingsRowAction` and `use-settings-list`. Sub pages are declared once in `src/dict/settings-pages-dict.ts`; on every `/admin/settings/*` page the rail swaps the crew for a back link plus that list. Add a sub page by adding its folder and a dict entry
 
 Every `/admin/*` page renders in the bots layout (`src/layouts/bots/`); there is no separate admin layout or aside. The rail header's Add icon (super admins and admins only, like the rail's "+" buttons) opens the Add flow (`(partials)/add-flow.tsx`, `AddFlowContext`): a bot, a workspace or (super admins) a computer, each form in a modal stacked over the choice, so closing it goes back there (the Bots and Workspaces labels have a "+" that opens the form directly); on a workspace's pages new bots and computers join it. The rail shows the crew (`(partials)/rail-crew-list.tsx`, needs `bots` and `workspaces` in page props): the coordinator, the latest `AppData.RailRecentBots` workers (plus any open, unread or needing you, `pick-rail-bots`), "See all bots" with a few stones opening every bot in a modal, then Workspaces with a "+". On `/admin/workspaces/*` it shows the workspace's crew instead (`(partials)/rail-workspace-list.tsx`: back link, the workspace, then only the bots attached to it, "Workspace bots"; the coordinator stays in the main crew rail, and on a workspace bot's page the back link returns to the workspace page), except on `/admin/settings/*` where it shows "Back to bots" plus the settings sub pages (`(partials)/rail-settings-list.tsx`). Page heroes use the shared `AdminHero` component (`src/components/general/admin-hero.tsx`).