feat(cost-center): 商品与成本按履约载体分区，补充分页与删除能力

- 新增迁移 107_product_catalog_carrier：product_catalog 增加 carrier_type，
  自动发货只认 fulfillment_tasks.executor_key='affiliate_dash' 的履约证据
  （28 个上游 SKU），接单模板商品统一归为 work_order（662 个）
- 页面按「全部 / 自动发货 / 接单平台 / 人工客服 / 共用成本」分区；
  自动发货只展示自动发货 SKU 列表与采购成本，不展示商品目录/渠道映射
- 新增「同步自动发货商品」接口与按钮，按 aff:<skuCode> 幂等补建
- 列表统一接入公共分页 buildAdminTablePagination，支持 10/20/50/100 每页条数
- 标准商品、自动发货 SKU、渠道映射、成本项目、成本版本支持删除，
  带引用保护（映射/版本/快照/订单/接单规则）与生效版本先停用约束

apps/backend/src/routes/admin/cost-center.ts

@@ -10,6 +10,10 @@ import {
   createAdminCostSnapshot,
   createAdminCostVersion,
   createAdminProduct,
+  deleteAdminChannelMapping,
+  deleteAdminCostItem,
+  deleteAdminCostVersion,
+  deleteAdminProduct,
   getAdminCostCenterOptions,
   getAdminCostCenterOverview,
   listAdminChannelMappings,
@@ -21,6 +25,7 @@ import {
   previewAdminTemplateProductBootstrap,
   resolveAdminCostException,
   retireAdminCostVersion,
+  syncAdminAffiliateDashProducts,
   updateAdminChannelMapping,
   updateAdminCostItem,
   updateAdminProduct,
@@ -91,6 +96,22 @@ router.post(
   }),
 )
 
+router.post(
+  '/cost-center/affiliate-products/sync',
+  requireAdminPermission('finance.config'),
+  createJsonHandler(() => syncAdminAffiliateDashProducts(), {
+    successMessage: '自动发货商品已同步',
+    errorMessage: '同步自动发货商品失败',
+    scope: '[admin/cost-center/affiliate-products/sync]',
+    audit: (_req, data) => ({
+      action: 'cost_affiliate_products_synced',
+      targetType: 'product_catalog',
+      targetId: '',
+      data: data as Record<string, unknown>,
+    }),
+  }),
+)
+
 router.get(
   '/cost-center/products',
   requireAdminPermission('finance.view'),
@@ -139,6 +160,25 @@ router.patch(
   }),
 )
 
+router.delete(
+  '/cost-center/products/:productId',
+  requireAdminPermission('finance.config'),
+  createJsonHandler((req) => deleteAdminProduct(idOf(req, 'productId')), {
+    successMessage: '标准商品已删除',
+    errorMessage: '删除标准商品失败',
+    scope: '[admin/cost-center/products/:productId]',
+    audit: (req, data) => {
+      const product = (data as { product?: { id?: number; canonicalSku?: string } })?.product
+      return {
+        action: 'cost_product_deleted',
+        targetType: 'product_catalog',
+        targetId: String(product?.id || req.params.productId || ''),
+        data: { canonicalSku: product?.canonicalSku || '' },
+      }
+    },
+  }),
+)
+
 router.get(
   '/cost-center/mappings',
   requireAdminPermission('finance.view'),
@@ -197,6 +237,25 @@ router.patch(
   }),
 )
 
+router.delete(
+  '/cost-center/mappings/:mappingId',
+  requireAdminPermission('finance.config'),
+  createJsonHandler((req) => deleteAdminChannelMapping(idOf(req, 'mappingId')), {
+    successMessage: '渠道映射已删除',
+    errorMessage: '删除渠道映射失败',
+    scope: '[admin/cost-center/mappings/:mappingId]',
+    audit: (req, data) => {
+      const mappingId = (data as { mappingId?: number })?.mappingId
+      return {
+        action: 'cost_mapping_deleted',
+        targetType: 'channel_product_mapping',
+        targetId: String(mappingId || req.params.mappingId || ''),
+        data: {},
+      }
+    },
+  }),
+)
+
 router.post(
   '/cost-center/mappings/backfill',
   requireAdminPermission('finance.config'),
@@ -277,6 +336,25 @@ router.patch(
   }),
 )
 
+router.delete(
+  '/cost-center/cost-items/:costItemId',
+  requireAdminPermission('finance.config'),
+  createJsonHandler((req) => deleteAdminCostItem(idOf(req, 'costItemId')), {
+    successMessage: '成本项目已删除',
+    errorMessage: '删除成本项目失败',
+    scope: '[admin/cost-center/cost-items/:costItemId]',
+    audit: (req, data) => {
+      const item = (data as { costItem?: { id?: number; code?: string } })?.costItem
+      return {
+        action: 'cost_item_deleted',
+        targetType: 'cost_item',
+        targetId: String(item?.id || req.params.costItemId || ''),
+        data: { code: item?.code || '' },
+      }
+    },
+  }),
+)
+
 router.get(
   '/cost-center/cost-versions',
   requireAdminPermission('finance.view'),
@@ -325,6 +403,25 @@ router.patch(
   }),
 )
 
+router.delete(
+  '/cost-center/cost-versions/:versionId',
+  requireAdminPermission('finance.config'),
+  createJsonHandler((req) => deleteAdminCostVersion(idOf(req, 'versionId')), {
+    successMessage: '成本版本已删除',
+    errorMessage: '删除成本版本失败',
+    scope: '[admin/cost-center/cost-versions/:versionId]',
+    audit: (req, data) => {
+      const version = (data as { version?: { id?: number } })?.version
+      return {
+        action: 'cost_version_deleted',
+        targetType: 'cost_version',
+        targetId: String(version?.id || req.params.versionId || ''),
+        data: {},
+      }
+    },
+  }),
+)
+
 router.get(
   '/cost-center/exceptions',
   requireAdminPermission('finance.view'),