feat(menu): per-item print station (cold bar / kitchen / barista)

Each menu item can now pick its own print station, overriding the category's —
so a category can fan out to different printers (e.g. a drink → cold bar, a
food → kitchen). Adds MenuItem.KitchenStationId (+ migration, FK SetNull), wires
create/update/DTO, and updates kitchen-ticket routing to group by the item's
station ?? the category's station ?? the branch kitchen printer. Deleting a
station now also clears item assignments. Menu item editor gains a "Print
station" dropdown (default = "same as category"). fa/en/ar added.

Backend built clean via the Nexus mirror; migration applies on deploy (MigrateAsync).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

web/dashboard/messages/ar.json

@@ -917,7 +917,8 @@
     "deleteItemSuccess": "تم حذف الصنف",
     "deleteCategoryConfirmTitle": "حذف الفئة",
     "deleteCategoryConfirmDesc": "هل أنت متأكد من حذف الفئة «{name}»؟",
-    "deleteCategorySuccess": "تم حذف الفئة"
+    "deleteCategorySuccess": "تم حذف الفئة",
+    "printStationInherit": "نفس الفئة"
   },
   "branchMenu": {
     "title": "قائمة الفرع",

web/dashboard/messages/en.json

@@ -951,7 +951,8 @@
     "deleteItemSuccess": "Item deleted",
     "deleteCategoryConfirmTitle": "Delete category",
     "deleteCategoryConfirmDesc": "Are you sure you want to delete the “{name}” category?",
-    "deleteCategorySuccess": "Category deleted"
+    "deleteCategorySuccess": "Category deleted",
+    "printStationInherit": "Same as category"
   },
   "branchMenu": {
     "title": "Branch Menu",

web/dashboard/messages/fa.json

@@ -951,7 +951,8 @@
     "deleteItemSuccess": "آیتم حذف شد",
     "deleteCategoryConfirmTitle": "حذف دسته‌بندی",
     "deleteCategoryConfirmDesc": "آیا از حذف دسته «{name}» مطمئن هستید؟",
-    "deleteCategorySuccess": "دسته حذف شد"
+    "deleteCategorySuccess": "دسته حذف شد",
+    "printStationInherit": "مثل دستهٔ منو"
   },
   "branchMenu": {
     "title": "منوی شعبه",

web/dashboard/src/components/menu/menu-admin-screen.tsx

@@ -73,6 +73,7 @@ interface MenuItem {
   videoUrl?: string;
   model3dUrl?: string;
   isAvailable: boolean;
+  kitchenStationId?: string | null;
 }
 
 interface ItemForm {
@@ -84,6 +85,7 @@ interface ItemForm {
   imageUrl: string;
   videoUrl: string;
   model3dUrl: string;
+  kitchenStationId: string;
 }
 
 interface CatForm {
@@ -114,6 +116,7 @@ const defaultItemForm: ItemForm = {
   imageUrl: "",
   videoUrl: "",
   model3dUrl: "",
+  kitchenStationId: "",
 };
 
 const defaultCatForm: CatForm = {
@@ -296,6 +299,7 @@ export function MenuAdminScreen() {
         imageUrl: itemForm.imageUrl || null,
         videoUrl: itemForm.videoUrl || null,
         model3dUrl: itemForm.model3dUrl || null,
+        kitchenStationId: itemForm.kitchenStationId || null,
       }),
     onSuccess: () => {
       setItemModalOpen(false);
@@ -314,6 +318,7 @@ export function MenuAdminScreen() {
         imageUrl: mediaField(itemForm.imageUrl),
         videoUrl: mediaField(itemForm.videoUrl),
         model3dUrl: mediaField(itemForm.model3dUrl),
+        kitchenStationId: itemForm.kitchenStationId || null,
       }),
     onSuccess: () => {
       setItemModalOpen(false);
@@ -411,6 +416,7 @@ export function MenuAdminScreen() {
       imageUrl: item.imageUrl ?? "",
       videoUrl: item.videoUrl ?? "",
       model3dUrl: item.model3dUrl ?? "",
+      kitchenStationId: item.kitchenStationId ?? "",
     });
     setItemModalOpen(true);
   };
@@ -956,6 +962,26 @@ export function MenuAdminScreen() {
             ) : null}
           </LabeledField>
 
+          {stations.length > 0 ? (
+            <LabeledField label={t("printStation")} htmlFor="modal-item-station">
+              <select
+                id="modal-item-station"
+                className="h-10 w-full rounded-md border border-input bg-background px-3 text-sm"
+                value={itemForm.kitchenStationId}
+                onChange={(e) =>
+                  setItemForm((f) => ({ ...f, kitchenStationId: e.target.value }))
+                }
+              >
+                <option value="">{t("printStationInherit")}</option>
+                {stations.map((s) => (
+                  <option key={s.id} value={s.id}>
+                    {s.name}
+                  </option>
+                ))}
+              </select>
+            </LabeledField>
+          ) : null}
+
           {/* Actions */}
           <div className="flex items-center justify-between gap-2 border-t border-border pt-4">
             {editingItem ? (