feat(抽奖): 开放人工奖(crypto/physical/manual_other) + 领奖工单管理 + REST 对齐

- prize-form: 解禁 crypto/physical/manual_other 并加各自 config；权重改为中奖概率(%)，
  合计校验；vpn_duration 加"无订阅时新建订阅套餐"
- prize-grid: 概率合计=100% 校验告警；卡片渲染真实 config(时长/金额)
- claims-panel(新): 领奖工单列表 + 审核通过/驳回/标记发放
- activity-detail: 新增"领奖工单"Tab
- service: 奖品改/删 id 走 /prizes/:id（对齐后端 REST）；新增 claims 5 个接口 + 类型
- i18n: 补齐 zh-CN/en-US lottery 文案

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

apps/admin/src/sections/lottery/prize-grid.tsx

@@ -15,6 +15,8 @@ import PrizeForm from "./prize-form";
 const DEFAULT_GRID_SIZE = 9;
 const CENTER_SLOT = 4;
 const PERCENT_DECIMALS = 1;
+const REQUIRED_TOTAL_PERCENT = 100;
+const CENTS_PER_YUAN = 100;
 
 interface PrizeGridProps {
   activity: API.LotteryActivity;
@@ -36,6 +38,30 @@ function prizeTypeLabel(type: API.LotteryPrizeType, t: TranslateFn): string {
   return labels[type] ?? type;
 }
 
+// prizeConfigSummary 把奖品的类型专属 config 渲染成一行可读文本，
+// 让九宫格卡片显示真实配置值（免费时长天数 / 佣金金额），而不是只有类型徽章。
+function prizeConfigSummary(
+  prize: API.LotteryPrize,
+  t: TranslateFn
+): string | null {
+  const config = prize.config ?? {};
+  if (prize.type === "vpn_duration") {
+    const days = config.duration_days as number | undefined;
+    if (typeof days === "number" && days > 0) {
+      return `${days} ${t("prize.daysSuffix", "days")}`;
+    }
+    return null;
+  }
+  if (prize.type === "commission") {
+    const cents = config.amount_cents as number | undefined;
+    if (typeof cents === "number" && cents > 0) {
+      return `¥${(cents / CENTS_PER_YUAN).toFixed(2)}`;
+    }
+    return null;
+  }
+  return null;
+}
+
 interface FormState {
   open: boolean;
   slot: number;
@@ -84,6 +110,7 @@ export default function PrizeGrid({ activity }: PrizeGridProps) {
     [randomPrizes]
   );
   const hasFallback = prizes.some((prize) => prize.is_fallback);
+  const totalIsValid = totalWeight === REQUIRED_TOTAL_PERCENT;
   const gridSize = activity.grid_size || DEFAULT_GRID_SIZE;
   const slots = Array.from({ length: gridSize }, (_, index) => index);
 
@@ -104,16 +131,23 @@ export default function PrizeGrid({ activity }: PrizeGridProps) {
   return (
     <div className="space-y-4">
       <div className="rounded-lg border bg-muted/30 p-3">
-        <p className="mb-2 font-medium text-sm">
-          {t("prize.probabilityPreview", "Probability Preview")}
-        </p>
+        <div className="mb-2 flex items-center justify-between">
+          <p className="font-medium text-sm">
+            {t("prize.probabilityPreview", "Probability Preview")}
+          </p>
+          {randomPrizes.length > 0 && (
+            <Badge variant={totalIsValid ? "secondary" : "destructive"}>
+              {t("prize.probabilityTotal", "Total")}: {totalWeight}%
+            </Badge>
+          )}
+        </div>
         {randomPrizes.length > 0 ? (
           <div className="flex flex-wrap gap-2">
             {randomPrizes.map((prize) => (
               <Badge key={prize.id} variant="secondary">
-                {prize.name}: {prize.weight}/{totalWeight} (
+                {prize.name}:{" "}
                 {((prize.weight / totalWeight) * 100).toFixed(PERCENT_DECIMALS)}
-                %)
+                %
               </Badge>
             ))}
           </div>
@@ -126,6 +160,21 @@ export default function PrizeGrid({ activity }: PrizeGridProps) {
           </p>
         )}
       </div>
+      {randomPrizes.length > 0 && !totalIsValid && (
+        <Alert variant="destructive">
+          <AlertTriangle className="h-4 w-4" />
+          <AlertTitle>
+            {t("prize.totalNot100Title", "Probabilities must total 100%")}
+          </AlertTitle>
+          <AlertDescription>
+            {t(
+              "prize.totalNot100Hint",
+              "The drawable prizes currently total {{total}}%. Adjust each prize's win probability so they sum to exactly 100%.",
+              { total: totalWeight }
+            )}
+          </AlertDescription>
+        </Alert>
+      )}
       {!hasFallback && (
         <Alert>
           <AlertTriangle className="h-4 w-4" />
@@ -185,8 +234,17 @@ export default function PrizeGrid({ activity }: PrizeGridProps) {
                   <Badge variant="secondary">
                     {prizeTypeLabel(prize.type, t)}
                   </Badge>
+                  {(() => {
+                    const summary = prizeConfigSummary(prize, t);
+                    return summary ? (
+                      <span className="line-clamp-1 font-medium text-primary text-xs">
+                        {summary}
+                      </span>
+                    ) : null;
+                  })()}
                   <span className="text-muted-foreground text-xs">
-                    {t("prize.weightShort", "Weight")}: {prize.weight} ·{" "}
+                    {t("prize.weightShort", "Prob")}:{" "}
+                    {prize.is_fallback ? "—" : `${prize.weight}%`} ·{" "}
                     {t("prize.stockShort", "Stock")}:{" "}
                     {prize.total_stock === null ? "∞" : prize.total_stock}
                   </span>