feat(web): show import status on X bookmarks integration card (#1130)

## What

The X bookmarks ("Import X bookmarks") card on the integrations page never reflected any state, even after importing tweets — unlike connectors and plugins, which show "Connected"/"Active".

After this change, once you've imported at least one tweet the card shows an **"Imported · {last import time}"** pill (mirroring the plugin "Active · {time}" style) and is included in the **Connected** filter.

Since importing X bookmarks is a one-time/occasional action rather than a live connection, it intentionally says **"Imported"** with the last-import timestamp, not "Connected".

## Why

The page's status logic (`isItemConnected` + `renderStatus`) only handled the `plugin` and `connector` item kinds. The X bookmarks card is an `import` kind, so it always rendered just "Connect". This was a regression from #979 (the integrations overhaul), which rebuilt the page around item kinds and dropped the previous "{N} tweets imported" indicator.

## How

- Add a single documents query (`@post/documents/documents`, `categories: ["tweet"]`, `limit: 1`, newest first) that yields both the org-wide tweet count (`pagination.totalItems`) and the latest tweet's `createdAt`.
- `isItemConnected` returns `true` for `import` when the count is `> 0`.
- `renderStatus` renders a new `ImportedPill` ("Imported · {relative time}") for `import` when there's ≥1 tweet.

## Testing

- `tsc` and Biome pass; no new errors introduced by this change.
- Verified the status source of truth against a local backend by seeding `type='tweet'` documents — the count/latest-timestamp the pill renders reflect them.

> Note: `tsc` reports two **pre-existing**, unrelated `granola` errors in this file (`CONNECTOR_META` + an icon record missing the `granola` provider). They exist on `main` and are not touched by this PR.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

apps/web/components/integrations-view.tsx

@@ -1059,6 +1059,29 @@ function ConnectionsCountPill({ count }: { count: number }) {
 	)
 }
 
+function ImportedPill({
+	lastImportedAt,
+}: {
+	lastImportedAt: string | number | Date | null
+}) {
+	return (
+		<span
+			className={cn(
+				dmSans125ClassName(),
+				"flex shrink-0 items-center gap-1.5 text-[12px] font-medium text-[#00AC3F] sm:text-[13px]",
+			)}
+		>
+			<span className="size-[7px] rounded-full bg-[#00AC3F]" />
+			Imported
+			{lastImportedAt && (
+				<span className="text-[11px] font-normal text-[#737373]">
+					· {formatRelativeTime(lastImportedAt)}
+				</span>
+			)}
+		</span>
+	)
+}
+
 const CONNECTOR_META: Record<
 	ConnectorProvider,
 	{ name: string; icon: ReactNode; documentLabel: string }
@@ -2463,6 +2486,35 @@ export function IntegrationsView({
 		staleTime: 30 * 1000,
 	})
 
+	const { data: xBookmarksImport } = useQuery({
+		queryKey: ["x-bookmarks-import-status"],
+		queryFn: async () => {
+			const response = await $fetch("@post/documents/documents", {
+				body: {
+					page: 1,
+					limit: 1,
+					sort: "createdAt",
+					order: "desc",
+					categories: ["tweet"],
+				},
+				disableValidation: true,
+			})
+			if (response.error)
+				throw new Error(
+					response.error?.message || "Failed to load X bookmarks status",
+				)
+			return {
+				count: response.data?.pagination?.totalItems ?? 0,
+				lastImportedAt: response.data?.documents?.[0]?.createdAt ?? null,
+			}
+		},
+		staleTime: 5 * 60 * 1000,
+		enabled: !publicMode,
+	})
+
+	const tweetCount = xBookmarksImport?.count ?? 0
+	const lastTweetImportAt = xBookmarksImport?.lastImportedAt ?? null
+
 	const keyPrefix = useCallback((key: ListedApiKey): string | null => {
 		return key.start ?? (key.name?.startsWith("sm_") ? key.name : null)
 	}, [])
@@ -2675,9 +2727,12 @@ export function IntegrationsView({
 			if (item.kind === "connector") {
 				return connectionsByProvider[item.provider].length > 0
 			}
+			if (item.kind === "import") {
+				return tweetCount > 0
+			}
 			return false
 		},
-		[activePluginById, connectionsByProvider, publicMode],
+		[activePluginById, connectionsByProvider, publicMode, tweetCount],
 	)
 
 	const counts = useMemo<Record<CategoryFilter, number>>(
@@ -3286,6 +3341,10 @@ export function IntegrationsView({
 				if (count <= 0) return null
 				return <ConnectionsCountPill count={count} />
 			}
+			case "import": {
+				if (tweetCount <= 0) return null
+				return <ImportedPill lastImportedAt={lastTweetImportAt} />
+			}
 			default:
 				return null
 		}