feat(studio): surface the Visual Catalog Manager in the Studio nav

The catalog manager (with auto-category wizard) now lives inside the Studio
navigation for teams that manage furniture inline. The button is gated on
CATALOG_EDIT; only users with that permission see the launcher.

- Split server/client Studio layout to derive permissions server-side
- Add optional triggerLabel prop to CatalogManagerDialog for custom labels
- Wire the Catalog manager button in the Studio nav right cluster
- Keep existing /admin/catalog entry points unchanged

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

@@ -74,11 +74,13 @@ export function CatalogManagerDialog({
 	catalogType = "normal",
 	canEdit = false,
 	totals = null,
+	triggerLabel,
 }: {
 	initialRoots?: RootTab[];
 	catalogType?: CatalogManagerMode;
 	canEdit?: boolean;
 	totals?: CatalogStatsTotals | null;
+	triggerLabel?: string;
 }) {
 	const [open, setOpen] = useState(false);
 	const [mounted, setMounted] = useState(false);
@@ -115,7 +117,7 @@ export function CatalogManagerDialog({
 				onClick={() => setOpen(true)}
 			>
 				<LayoutGrid className="h-4 w-4" />
-				{title}
+				{triggerLabel ?? title}
 			</Button>
 			{mounted && open
 				? createPortal(