feat: make products server managed

apps/api/prisma/migrations/20261023120000_products_on_dashboard/migration.sql

@@ -0,0 +1,3 @@
+-- AlterTable
+ALTER TABLE "Product" ADD COLUMN     "archivedAt" TIMESTAMP(3);
+

apps/api/prisma/schema.prisma

@@ -232,12 +232,12 @@ model TabEvent {
   @@index([venueId, type, occurredAt])
 }
 
-// The venue's products as reported by its terminals, with the stock. The server owns the stock: it follows the
-// terminals' line events and stock counts and the dashboard's StockAdjustments. A product is never removed because
-// one terminal doesn't report it.
+// The venue's products and their stock. The dashboard manages the catalog and the terminals get it on every sync;
+// the first terminal's own catalog was taken over once. The stock follows the terminals' line events and stock
+// counts and the dashboard's StockAdjustments.
 model Product {
   venueId           String
-  // Generated by the terminal
+  // Generated by the server, or by the terminal that reported it before the dashboard managed the catalog
   productId         String
   name              String
   category          String?
@@ -246,9 +246,12 @@ model Product {
   stock             Int?
   // When the stock was last counted; line events that happened before it are already in the count
   countedAt         DateTime?
-  // Dashboard-only setting, never sent to or overwritten by the terminal
+  // Warn when the stock drops to this level
   lowStockThreshold Int?
+  // When it was created or last changed
   reportedAt        DateTime
+  // Deleted on the dashboard: hidden on the terminals, kept because tabs and history refer to it
+  archivedAt        DateTime?
 
   venue Venue @relation(fields: [venueId], references: [id])