fix: exclude backup directories from TypeScript compilation

- Update tsconfig.json to exclude *.backup and backup/**/* directories
- Resolves build errors from removed analyzer files

Author: LaGodxy

apps/api/tsconfig.json

@@ -26,6 +26,8 @@
   ],
   "exclude": [
     "node_modules",
-    "dist"
+    "dist",
+    "**/*.backup",
+    "**/backup/**/*"
   ]
 }