Add Rei Network to Base ecosystem (#2590)

- Added Rei Network entry to ecosystem.json
- Added logo-rei.png to partners directory
- Rei Network is an AI research organization focusing on advancing artificial intelligence through science-driven innovations

Co-authored-by: Rei Network <team@reisearch.box>
Co-authored-by: Lex <alex.hee87@gmail.com>

Author: 3 people

apps/web/public/images/partners/logo-rei.png

@@ -3231,6 +3231,14 @@
     "category": "infra",
     "subcategory": "data"
   },
+  {
+    "name": "Rei Network",
+    "description": "Rei Network is an AI research organization that focuses on advancing artificial intelligence through science driven innovations.",
+    "url": "https://reisearch.box",
+    "imageUrl": "/images/partners/logo-rei.png",
+    "category": "ai",
+    "subcategory": "ai"
+  },
   {
     "name": "Reflect",
     "category": "defi",