fix: correct badge item detection by checking classname prefix

Badge item_names already start with 'badge_' (e.g. badge_citycpa3),
so checking for badge_<item_name>_icon.png produces a double prefix
(badge_badge_citycpa3_icon.png). Now uses item_name.startsWith('badge_')
instead, which correctly identifies badge items without depending on
icon files existing in the directory.

src/lib/services/repair-nitros.ts

@@ -154,6 +154,10 @@ export async function repairMissingNitros(
 	onEvent?.({ type: "started", total });
 
 	const processItem = async (classname: string) => {
+		// Badge items use .gif files, not .nitro bundles.
+		if (classname.startsWith("badge_")) {
+			return { status: "skipped" } as const;
+		}
 		const fileName = `${classname}.nitro`;
 
 		const presentDirs = nitroDirs.filter((dir) =>