feat(catalog): add a Studio button to fix missing furnidata entries

"Missing furnidata" was only a filter in the Studio status dropdown, so
imported items whose classname was absent from FurnitureData.json could
be found but not fixed from that screen. Only the Catalog Audit page could
repair them, and only globally.

Adds the same shape of quick action that "no nitro" already had:

- studio-client.tsx: a "N no furnidata" shortcut next to the "N no nitro"
  button that sets the missingFurnidata status filter, and a bulk "Add
  missing furnidata (N)" button for the selected rows. Both only appear
  when there is something to act on. Rows that come back repaired flip
  to hasFurnidata: true so the badges and counts update in place; rows
  the server reported in errors keep their state.
- resync/route.ts: accepts an optional { classnames: string[] } body to
  target exactly the selected rows. classnames are resolved through the
  same normalized local index the listing uses to decide hasFurnidata, so
  the rows written are the rows flagged as missing. The upsert is already
  idempotent, and RCON updateCatalog + updateItems run afterwards so the
  emulator picks the new entries up.
  Also clears the Studio furnidata cache after a write, which this route
  never did: without it the listing kept serving a stale hasFurnidata for
  up to the 30s cache TTL, so a repair looked like it had done nothing.
  PERMS is now imported from permission-slugs (identical re-export) so the
  route no longer pulls next-auth into tests.
- studio-filters.test.ts: pins the missingFurnidata branch, in particular
  that an unchecked item (hasFurnidata undefined) is not treated as missing.

The existing ?days / ?missing / ?broken / ?all modes are unchanged; the
body is only consulted when it carries a classnames array.

src/components/admin/studio/studio-client.tsx

@@ -8,6 +8,7 @@ import {
 	Check,
 	CircleAlert,
 	CloudDownload,
+	FileJson2,
 	Globe,
 	Languages,
 	Layers,
@@ -1145,6 +1146,7 @@ export function StudioClient({
 
 	const [bulkDeleting, setBulkDeleting] = useState(false);
 	const [bulkRegenning, setBulkRegenning] = useState(false);
+	const [bulkFurnidata, setBulkFurnidata] = useState(false);
 
 	async function bulkDeleteSelected() {
 		if (selectedImported.length === 0) return;
@@ -1241,6 +1243,46 @@ export function StudioClient({
 		}
 	}
 
+	async function bulkAddFurnidata() {
+		if (selectedMissingFurnidata.length === 0) return;
+		setBulkFurnidata(true);
+		const wanted = selectedMissingFurnidata.map((i) => i.classname);
+		try {
+			const res = await adminFetch("/api/admin/import/furni/resync", {
+				method: "POST",
+				headers: { "Content-Type": "application/json" },
+				body: JSON.stringify({ classnames: wanted }),
+			});
+			const data = await res.json();
+			if (res.ok) {
+				const failedClassnames = new Set<string>(
+					((data.errors ?? []) as Array<{ classname: string }>).map(
+						(e) => e.classname,
+					),
+				);
+				const fixedClassnames = new Set(
+					wanted.filter((cn) => !failedClassnames.has(cn)),
+				);
+				setItems((prev) =>
+					prev.map((i) =>
+						fixedClassnames.has(i.classname) ? { ...i, hasFurnidata: true } : i,
+					),
+				);
+				const fixed = Number(data.resynced ?? fixedClassnames.size);
+				const failed = Number(data.failed ?? 0);
+				toast.success(
+					`Furnidata added: ${fixed}${failed > 0 ? `, failed: ${failed}` : ""}`,
+				);
+			} else {
+				toast.error(data.error || "Adding furnidata failed");
+			}
+		} catch {
+			toast.error("Network error");
+		} finally {
+			setBulkFurnidata(false);
+		}
+	}
+
 	const selectedNonImported = useMemo(
 		() =>
 			filteredItems.filter(
@@ -1255,6 +1297,13 @@ export function StudioClient({
 		[filteredItems],
 	);
 
+	const missingFurnidataCount = useMemo(
+		() =>
+			filteredItems.filter((i) => i.alreadyImported && i.hasFurnidata === false)
+				.length,
+		[filteredItems],
+	);
+
 	const selectedImported = useMemo(
 		() =>
 			filteredItems.filter(
@@ -1268,6 +1317,11 @@ export function StudioClient({
 		[selectedImported],
 	);
 
+	const selectedMissingFurnidata = useMemo(
+		() => selectedImported.filter((i) => i.hasFurnidata === false),
+		[selectedImported],
+	);
+
 	const notImportedCount = useMemo(
 		() =>
 			activeSource && cloneStats
@@ -1556,6 +1610,21 @@ export function StudioClient({
 						{missingNitroCount} no nitro
 					</button>
 				)}
+				{missingFurnidataCount > 0 && (
+					<button
+						type="button"
+						onClick={() => setStatusFilter("missingFurnidata")}
+						className={cn(
+							"flex h-8 items-center gap-1.5 rounded-md border px-2.5 text-xs font-medium transition-colors",
+							statusFilter === "missingFurnidata"
+								? "border-[var(--admin-warning)] bg-[var(--admin-warning)]/10 text-[var(--admin-warning)]"
+								: "border-[var(--admin-border)] text-[var(--admin-warning)] hover:bg-[var(--admin-warning)]/10",
+						)}
+					>
+						<FileJson2 size={12} />
+						{missingFurnidataCount} no furnidata
+					</button>
+				)}
 
 				<div className="flex h-8 items-center overflow-hidden rounded-md border border-[var(--admin-border)]">
 					<button
@@ -1848,6 +1917,23 @@ export function StudioClient({
 					</Button>
 				)}
 
+				{selectedMissingFurnidata.length > 0 && !batchProgress && (
+					<Button
+						size="sm"
+						variant="outline"
+						className="gap-1.5"
+						disabled={bulkFurnidata}
+						onClick={bulkAddFurnidata}
+					>
+						{bulkFurnidata ? (
+							<Loader2 size={14} className="animate-spin" />
+						) : (
+							<FileJson2 size={14} />
+						)}
+						Add missing furnidata ({selectedMissingFurnidata.length})
+					</Button>
+				)}
+
 				{selectedImported.length > 0 && !batchProgress && (
 					<Button
 						size="sm"