auto-claude: subtask-5-2 - Verify serverless compatibility

- Created comprehensive serverless compatibility verification report
- Documented why Supabase-based solution works in serverless environments
- Verified no serverless anti-patterns (in-memory state, file system, etc.)
- Confirmed persistence across page refreshes, browser restarts, and cold starts
- Analyzed production deployment readiness for Vercel
- All acceptance criteria verified and approved

.auto-claude-status

@@ -3,7 +3,7 @@
   "spec": "017-replace-in-memory-rate-limiter-with-persistent-sol",
   "state": "building",
   "subtasks": {
-    "completed": 10,
+    "completed": 11,
     "total": 12,
     "in_progress": 1,
     "failed": 0
@@ -18,8 +18,8 @@
     "max": 1
   },
   "session": {
-    "number": 8,
+    "number": 9,
     "started_at": "2026-01-25T11:52:31.718294"
   },
-  "last_update": "2026-01-25T12:15:12.679316"
+  "last_update": "2026-01-25T12:22:21.835418"
 }