feat(catalog): update the catalog live after an import, no page refresh

Organising imports, the Studio furni batch, the catalog totals and the
"import from a source" stats all used to need a full page reload, or at
best a router.refresh() that re-rendered the whole admin route, before
anything on screen reflected what the import had just written.

- live-catalog-merge.ts (new): pure tree and total arithmetic. Applies a
  delta of created pages, added offers and moved offers, recomputes depth
  for the touched subtree, bumps parent child counts and the item totals.
  Returns the input untouched when a delta is empty, so subscribers can
  bail out instead of re-rendering. Depth resolution tolerates a parent
  cycle in a dirty DB and still terminates, matching getTreeFlat.
- use-live-catalog.ts (new): one module-level store exposed through
  useSyncExternalStore, so every consumer shares a single instance without
  threading a provider through the admin layout. Deltas only apply to the
  "normal" catalog, so public and public_handlers trees stay separate.
  seedCatalogTotals() takes the first server value per mode and never
  overwrites it afterwards, so a later hard render cannot make the header
  totals jump backwards.
- actions/catalog.ts: organizeImportFurni now reports each group through
  the new OrganizedPageChange, carrying parentId, pageLayout, the icon,
  isNew and the per-source movedFrom counts, so the client can fold the
  result into the tree without reading the page back.
- organize-imports-dialog.tsx: drops useRouter and router.refresh(); the
  response is applied as a delta the moment the run finishes.
- studio-client.tsx: reads the tree from the store instead of freezing it
  with useState(initialTree), loads it on mount when empty, and refreshes
  it once a batch import settles. The batch is server-side and derives its
  import pages from furnidata, so that one path re-reads the tree via
  GET /api/admin/catalog/tree?mode=full rather than trusting the delta.
- studio/furni/page.tsx: stops calling getTreeFlat() and no longer passes
  initialTree; the store is the single source of truth for the rail.
- import-clone-client.tsx: tracks which items are already present, so
  present and clonable update per cloned row instead of only at the end.
- catalog-manager-dialog.tsx: seeds the totals once and renders the live
  values, so the header reflects an import that just ran.
- e2e/ui/fixtures/entry.tsx: drops the removed initialTree prop.

src/components/admin/studio/organize-imports-dialog.tsx

@@ -17,11 +17,11 @@ import {
 	Wand2,
 	X,
 } from "lucide-react";
-import { useRouter } from "next/navigation";
 import { useTranslations } from "next-intl";
 import { useCallback, useEffect, useMemo, useState } from "react";
 import { toast } from "sonner";
 import {
+	type OrganizedPageChange,
 	type OrganizeImportGroup as OrganizeGroupPayload,
 	organizeImportFurni,
 } from "@/actions/catalog";
@@ -51,6 +51,7 @@ import {
 	SelectTrigger,
 	SelectValue,
 } from "@/components/ui/select";
+import { applyCatalogDelta } from "@/features/catalog/client/use-live-catalog";
 import {
 	CATALOG_LAYOUTS,
 	type CatalogLayout,
@@ -155,7 +156,6 @@ export function OrganizeImportsDialog({
 	onOpenChange,
 }: OrganizeImportsDialogProps) {
 	const t = useTranslations("pages.admin.catalog.workspace.organizeImports");
-	const router = useRouter();
 
 	const [loading, setLoading] = useState(false);
 	const [loadError, setLoadError] = useState(false);
@@ -683,8 +683,7 @@ export function OrganizeImportsDialog({
 		const runs = chunkGroups(payload);
 		setIsCreating(true);
 		try {
-			const created: Array<{ pageId: number; moved: number; added: number }> =
-				[];
+			const created: OrganizedPageChange[] = [];
 			let failedRuns = 0;
 			for (const run of runs) {
 				const result = await organizeImportFurni({
@@ -707,6 +706,34 @@ export function OrganizeImportsDialog({
 				} catch {
 					// ignore storage errors
 				}
+				// Fold the result straight into the mounted catalog tree instead of
+				// router.refresh()-ing the route, which would rebuild the whole
+				// workspace and throw away scroll position and open panels.
+				applyCatalogDelta({
+					pages: created
+						.filter((c) => c.isNew)
+						.map((c) => ({
+							id: c.pageId,
+							caption: c.caption,
+							parentId: c.parentId,
+							pageLayout: c.pageLayout,
+							iconImage: c.iconImage,
+							iconColor: c.iconColor,
+							orderNum: c.orderNum,
+							enabled: c.enabled,
+							visible: c.visible,
+						})),
+					addedItems: created
+						.filter((c) => c.added > 0)
+						.map((c) => ({ pageId: c.pageId, count: c.added })),
+					movedItems: created.flatMap((c) =>
+						c.movedFrom.map((m) => ({
+							fromPageId: m.fromPageId,
+							toPageId: c.pageId,
+							count: m.count,
+						})),
+					),
+				});
 			}
 			if (failedRuns > 0) {
 				toast.error(
@@ -733,7 +760,6 @@ export function OrganizeImportsDialog({
 				);
 			}
 			onOpenChange(false);
-			router.refresh();
 		} catch (error) {
 			console.error("[OrganizeImports] create failed:", error);
 			toast.error(t("errorFailed"));