fix: tooltip no longer covers status dropdown menu items

The outer Tooltip on the status badge was overlaying the DropdownMenu
content, hiding "Reopen Round". Now the tooltip is forced closed
whenever the dropdown is open.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

src/app/(admin)/admin/rounds/[roundId]/page.tsx

@@ -185,6 +185,7 @@ export default function RoundDetailPage() {
   const [nameValue, setNameValue] = useState('')
   const nameInputRef = useRef<HTMLInputElement>(null)
   const [statusConfirmAction, setStatusConfirmAction] = useState<'activate' | 'close' | 'reopen' | 'archive' | null>(null)
+  const [statusDropdownOpen, setStatusDropdownOpen] = useState(false)
   const [coverageOpen, setCoverageOpen] = useState(false)
 
   const utils = trpc.useUtils()
@@ -650,10 +651,10 @@ export default function RoundDetailPage() {
 
                 {/* Status dropdown with confirmation dialogs (4.1) */}
                 <TooltipProvider>
-                  <Tooltip>
+                  <Tooltip open={statusDropdownOpen ? false : undefined}>
                     <TooltipTrigger asChild>
                       <span>
-                        <DropdownMenu>
+                        <DropdownMenu onOpenChange={setStatusDropdownOpen}>
                           <DropdownMenuTrigger asChild>
                             <button
                               className={cn(