refactor: remove api-types.ts compatibility layer

- Migrated all 29 files from api-types.ts to use reflector-api.d.ts directly
- Removed $SourceKind manual enum in favor of OpenAPI-generated types
- Fixed unrelated Spinner component TypeScript error in AuthWrapper.tsx
- All imports now use: import type { components } from "path/to/reflector-api"
- Deleted api-types.ts file completely

www/app/(app)/rooms/useRoomList.tsx

@@ -1,5 +1,7 @@
 import { useRoomsList } from "../../lib/api-hooks";
-import { Page_Room_ } from "../../lib/api-types";
+import type { components } from "../../reflector-api";
+
+type Page_Room_ = components["schemas"]["Page_Room_"];
 import { PaginationPage } from "../browse/_components/Pagination";
 
 type RoomList = {