refactor: rename web/ to api/ to better reflect its purpose

The web/ folder contains the REST API, WebSocket server, and OAuth
routes — not a web frontend. Renaming to api/ clarifies this distinction
since the actual web frontend lives in panel/.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

tsconfig.json

@@ -50,7 +50,7 @@
   },
   "exclude": [
     "node_modules",
-    "web",
+    "api",
     "dist",
     "drizzle"
   ]