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)/transcripts/useParticipants.ts

@@ -1,4 +1,5 @@
-import { Participant } from "../../lib/api-types";
+import type { components } from "../../reflector-api";
+type Participant = components["schemas"]["Participant"];
 import { useTranscriptParticipants } from "../../lib/api-hooks";
 
 type ErrorParticipants = {