refactor: Replace generic AnilistDurableObject fetch endpoint with dedicated methods and update their usage.

src/index.ts

@@ -70,7 +70,7 @@ app.doc("/openapi.json", {
 app.get("/docs", swaggerUI({ url: "/openapi.json" }));
 
 export default {
-  ...app,
+  fetch: app.fetch,
   async queue(batch) {
     switch (batch.queue as QueueName) {
       case "ANILIST_UPDATES":