Fix missing query invalidations across member management

Add utils.user.list.invalidate() after mutations that change user
status to ensure member lists refresh without manual page reload:
- Member detail page: after update and send invitation
- User mobile actions: after send invitation
- Add member dialog: after send invitation in jury group flow

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

src/app/(admin)/admin/members/[id]/page.tsx

@@ -58,6 +58,7 @@ import {
 export default function MemberDetailPage() {
   const params = useParams()
   const router = useRouter()
+  const utils = trpc.useUtils()
   const userId = params.id as string
 
   const { data: user, isLoading, error, refetch } = trpc.user.get.useQuery({ id: userId })
@@ -103,6 +104,8 @@ export default function MemberDetailPage() {
         expertiseTags,
         maxAssignments: maxAssignments ? parseInt(maxAssignments) : null,
       })
+      utils.user.get.invalidate({ id: userId })
+      utils.user.list.invalidate()
       toast.success('Member updated successfully')
       router.push('/admin/members')
     } catch (error) {
@@ -115,6 +118,7 @@ export default function MemberDetailPage() {
       await sendInvitation.mutateAsync({ userId })
       toast.success('Invitation email sent successfully')
       refetch()
+      utils.user.list.invalidate()
     } catch (error) {
       toast.error(error instanceof Error ? error.message : 'Failed to send invitation')
     }