feat(catalog): add auto-category wizard with live preview and smart suggestions

- Add AutoCategoryDialog: pick furni (or empty page), suggest caption/icon/layout, live preview
- Add createAutoCategory server action (page + offers in one export) with CatalogKind
- Extend furni search API with interactionType
- Share ShopTile and refactor inline-editor/items-shop-preview to use it
- Add suggestion heuristics (suggestCategoryName/dIcon/layout) with tests
- Add autoCategory translations (en/nl)

src/components/admin/catalog-manager/catalog-manager-dialog.tsx

@@ -1,6 +1,6 @@
 "use client";
 
-import { LayoutGrid, Search, X } from "lucide-react";
+import { LayoutGrid, Search, Wand2, X } from "lucide-react";
 import { useTranslations } from "next-intl";
 import { useCallback, useEffect, useRef, useState } from "react";
 import { createPortal } from "react-dom";
@@ -15,6 +15,7 @@ import { useLatestRequest } from "@/features/catalog/client/use-latest-request";
 import { CatalogSearch } from "@/features/catalog/components/catalog-search";
 import type { CatalogSearchResult } from "@/features/catalog/domain/search";
 import type { RootTab } from "@/types/catalog";
+import { AutoCategoryDialog } from "./auto-category-dialog";
 import { BreadcrumbBar } from "./breadcrumb-bar";
 import { InlineEditor, type PageUpdateData } from "./inline-editor";
 import { RootTabs } from "./root-tabs";
@@ -165,6 +166,7 @@ function CatalogManagerInner({
 	const rootRequests = useLatestRequest();
 	const searchNavigation = useLatestRequest();
 	const [searchOpen, setSearchOpen] = useState(false);
+	const [autoOpen, setAutoOpen] = useState(false);
 	const [searchTarget, setSearchTarget] = useState<{
 		offerId: number | null;
 		key: number;
@@ -399,6 +401,23 @@ function CatalogManagerInner({
 					{heading}
 				</h2>
 				<div className="flex items-center gap-1">
+					{canEdit && catalogType === "normal" && (
+						<Button
+							variant="outline"
+							size="sm"
+							aria-label={t("autoCategory.title")}
+							title={t("autoCategory.title")}
+							onClick={() => {
+								if (!mayLeave()) return;
+								setAutoOpen(true);
+							}}
+						>
+							<Wand2 className="size-4" />
+							<span className="hidden sm:inline">
+								{t("autoCategory.title")}
+							</span>
+						</Button>
+					)}
 					<Button
 						variant="outline"
 						size="sm"
@@ -437,6 +456,16 @@ function CatalogManagerInner({
 				</div>
 			)}
 
+			<AutoCategoryDialog
+				catalogType={catalogType}
+				open={autoOpen}
+				onOpenChange={setAutoOpen}
+				onCreated={(pageId) => {
+					void loadRootPages();
+					handleSelectPage(pageId);
+				}}
+			/>
+
 			<BreadcrumbBar onSelectPage={handleSelectPage} />
 
 			<RootTabs