Products: carry the IMVU parent's image and categories

Revisions with an IMVU parent store its public info (image, category path, gender)
from IMVU's product API, looked up after registering and in a periodic pass.
Product views gain parent, image and categories; GET /products takes category and
limit. The website shows the image on cards and product pages.

Co-Authored-By: Claude Opus 5.5 <[email protected]>

packages/db/drizzle/meta/_journal.json

@@ -29,6 +29,13 @@
       "when": 1793324955738,
       "tag": "0003_products",
       "breakpoints": true
+    },
+    {
+      "idx": 4,
+      "version": "7",
+      "when": 1793347080470,
+      "tag": "0004_parent_info",
+      "breakpoints": true
     }
   ]
 }