Fix per-juror assignment caps: read correct field + inline edit UI

- Fix bug: AI assignment router read non-existent `(m as any).maxAssignments`
  instead of the actual schema field `m.maxAssignmentsOverride`
- Wire `jurorLimits` record into AI assignment constraints so per-juror
  caps are respected during both AI scoring and algorithmic assignment
- Add inline editable cap in jury members table (click to edit, blur/enter
  to save, empty = no cap / use group default)
- Add inline editable cap badges on round page member list so admins can
  set caps right from the assignment workflow

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

src/components/admin/jury/jury-members-table.tsx

@@ -1,10 +1,11 @@
 'use client'
 
-import { useState } from 'react'
-import { Trash2, UserPlus } from 'lucide-react'
+import { useState, useRef, useEffect } from 'react'
+import { Trash2, UserPlus, Pencil } from 'lucide-react'
 import { toast } from 'sonner'
 import { trpc } from '@/lib/trpc/client'
 import { Button } from '@/components/ui/button'
+import { Input } from '@/components/ui/input'
 import {
   Table,
   TableBody,
@@ -45,6 +46,79 @@ interface JuryMembersTableProps {
   members: JuryMember[]
 }
 
+function InlineCapEdit({
+  memberId,
+  currentValue,
+  juryGroupId,
+}: {
+  memberId: string
+  currentValue: number | null | undefined
+  juryGroupId: string
+}) {
+  const [editing, setEditing] = useState(false)
+  const [value, setValue] = useState(currentValue?.toString() ?? '')
+  const inputRef = useRef<HTMLInputElement>(null)
+  const utils = trpc.useUtils()
+
+  const { mutate: updateMember, isPending } = trpc.juryGroup.updateMember.useMutation({
+    onSuccess: () => {
+      utils.juryGroup.getById.invalidate({ id: juryGroupId })
+      toast.success('Cap updated')
+      setEditing(false)
+    },
+    onError: (err) => toast.error(err.message),
+  })
+
+  useEffect(() => {
+    if (editing) inputRef.current?.focus()
+  }, [editing])
+
+  const save = () => {
+    const trimmed = value.trim()
+    const newVal = trimmed === '' ? null : parseInt(trimmed, 10)
+    if (newVal !== null && (isNaN(newVal) || newVal < 1)) {
+      toast.error('Enter a positive number or leave empty for no cap')
+      return
+    }
+    if (newVal === (currentValue ?? null)) {
+      setEditing(false)
+      return
+    }
+    updateMember({ id: memberId, maxAssignmentsOverride: newVal })
+  }
+
+  if (editing) {
+    return (
+      <Input
+        ref={inputRef}
+        type="number"
+        min={1}
+        className="h-7 w-20 text-xs"
+        value={value}
+        placeholder="∞"
+        disabled={isPending}
+        onChange={(e) => setValue(e.target.value)}
+        onBlur={save}
+        onKeyDown={(e) => {
+          if (e.key === 'Enter') save()
+          if (e.key === 'Escape') { setValue(currentValue?.toString() ?? ''); setEditing(false) }
+        }}
+      />
+    )
+  }
+
+  return (
+    <button
+      type="button"
+      className="inline-flex items-center gap-1.5 rounded px-1.5 py-0.5 text-sm hover:bg-muted transition-colors group"
+      onClick={() => { setValue(currentValue?.toString() ?? ''); setEditing(true) }}
+    >
+      <span>{currentValue ?? '∞'}</span>
+      <Pencil className="h-3 w-3 text-muted-foreground opacity-0 group-hover:opacity-100 transition-opacity" />
+    </button>
+  )
+}
+
 export function JuryMembersTable({ juryGroupId, members }: JuryMembersTableProps) {
   const [addDialogOpen, setAddDialogOpen] = useState(false)
   const [removingMemberId, setRemovingMemberId] = useState<string | null>(null)
@@ -103,7 +177,11 @@ export function JuryMembersTable({ juryGroupId, members }: JuryMembersTableProps
                     {member.user.email}
                   </TableCell>
                   <TableCell className="hidden sm:table-cell">
-                    {member.maxAssignmentsOverride ?? '—'}
+                    <InlineCapEdit
+                      memberId={member.id}
+                      currentValue={member.maxAssignmentsOverride}
+                      juryGroupId={juryGroupId}
+                    />
                   </TableCell>
                   <TableCell className="hidden lg:table-cell">
                     {member.capModeOverride ? (