feat(public): family-first contract — goodId=familyId, strict 5-dim price matrix

公开契约族化（前端只需知道款号/族）：
- GET /public/goods 一族一条（goodId=族ID，price=族起价，分页作用于分组后）；
  无族商品（自定义）不进任何公开端点（列表/首页/分类树/标签统计）
- GET /public/goods/:goodId 仅认族 ID；公共字段取代表 Good，变体=全体成员并集，
  尺码表/包装规格=族物化并集；旧 SDS 链接 ID 寻址 404
- priceMatrix 严格五维：尺码×颜色×印花数量×工艺×物流；维度来源改为链接级
  标签（人工接管按人工标签），弃用原始 craftLabel；CUSTOM 成员尊重显式标签
- 名称派生补裸「单面/双面」写法（直喷双面→双面印花+直喷，18 条存量链接修复）
- family_price_overrides 加 print_count 列（五键唯一），PUT/DELETE/校验五键化
- admin 编辑弹窗矩阵消费适配（SKU 列直读 printCount，成员格子三维匹配，
  改价 payload 带 printCount）
- 存量 339 族已全量重算；api 162/162、admin 22/22、双端构建绿

apps/admin/src/views/goods/components/GoodsEditDialog.vue

@@ -133,6 +133,7 @@ interface MemberPriceCell {
   colorId: string
   sizeName: string | null
   colorName: string | null
+  printCount: string
   craft: string
   logistics: string
   price: string
@@ -216,9 +217,24 @@ function memberVariants(id: string) {
   return memberDetail(id)?.variants ?? []
 }
 
+// 矩阵三个归因维度的合法取值（与 api 端 auto-tag-rules 一致）
+const PRINT_COUNT_VALUES = ['单面印花', '双面印花']
+const CRAFT_VALUES = ['烫画', '直喷', '不打印']
+const LOGISTICS_VALUES = ['包邮', '不包邮']
+
+/** 成员的矩阵归因维度：优先取有效标签（人工接管后仍准确），回退按名称解析 */
 function memberDims(id: string) {
   const row = editFamilyMembers.value.find((m) => m.id === id)
-  return linkDims(row?.goodName ?? null)
+  const fallback = linkDims(row?.goodName ?? null)
+  const tagNames = ((row as any)?.originGoodTags ?? [])
+    .map((r: any) => r.tag?.tagName)
+    .filter(Boolean) as string[]
+  const crafts = CRAFT_VALUES.filter((v) => tagNames.includes(v))
+  return {
+    logistics: LOGISTICS_VALUES.find((v) => tagNames.includes(v)) ?? fallback.logistics,
+    crafts: crafts.length ? crafts : fallback.crafts,
+    printCount: PRINT_COUNT_VALUES.find((v) => tagNames.includes(v)) ?? fallback.printCount,
+  }
 }
 
 async function handleSyncMemberDetail(row: { id: string; sdsGoodId: string }) {
@@ -234,21 +250,25 @@ async function handleSyncMemberDetail(row: { id: string; sdsGoodId: string }) {
   } finally { detailSyncing.value = '' }
 }
 
-/** 该链接在族价格矩阵中的格子（craft/logistics 即该链接的标签维度） */
+/** 该链接在族价格矩阵中的格子（印花数量/工艺/物流 三维即该链接的归因标签） */
 function loadMemberPrices(ogId: string) {
-  const row = editFamilyMembers.value.find((m) => m.id === ogId)
-  if (!row?.craftLabel || !row.logisticsLabel) {
+  const dims = memberDims(ogId)
+  if (!dims.printCount || !dims.crafts.length || !dims.logistics) {
     memberPrices.value[ogId] = []
     return
   }
   const matrixRows = (familyDetailRaw.value?.priceMatrix?.rows ?? []) as any[]
   memberPrices.value[ogId] = matrixRows
-    .filter((r: any) => r.craft === row.craftLabel && r.logistics === row.logisticsLabel)
+    .filter((r: any) =>
+      r.printCount === dims.printCount &&
+      dims.crafts.includes(r.craft) &&
+      r.logistics === dims.logistics)
     .map((r: any) => ({
       sizeId: String(r.sizeId),
       colorId: String(r.colorId),
       sizeName: r.sizeName ?? null,
       colorName: r.colorName ?? null,
+      printCount: r.printCount,
       craft: r.craft,
       logistics: r.logistics,
       price: String(r.price ?? ''),
@@ -263,7 +283,7 @@ async function saveMemberPrices(row: { id: string }) {
   memberPriceSaving.value = row.id
   try {
     await productFamiliesApi.putOverrides(editFamilyId.value, cells.map((c) => ({
-      sizeId: c.sizeId, colorId: c.colorId, craft: c.craft, logistics: c.logistics, price: c.editPrice,
+      sizeId: c.sizeId, colorId: c.colorId, printCount: c.printCount, craft: c.craft, logistics: c.logistics, price: c.editPrice,
     })))
     ElMessage.success('价格已保存')
     await loadEditFamily()
@@ -803,7 +823,7 @@ async function handleDeleteGood() {
             <template #default="{ row }">{{ row.craft || '-' }}</template>
           </el-table-column>
           <el-table-column label="印花数量" width="100">
-            <template #default="{ row }">{{ row.craft?.includes('双面印花') ? '双面印花' : row.craft?.includes('单面印花') ? '单面印花' : '-' }}</template>
+            <template #default="{ row }">{{ row.printCount || '-' }}</template>
           </el-table-column>
           <el-table-column prop="sizeName" label="尺码" width="90" />
           <el-table-column prop="colorName" label="颜色" min-width="110" />