[WEB-3066] refactor: replace Space Services with Services Package (#6353)

* [WEB-3066] refactor: replace Space Services with Services Package

* chore: minor improvements

* fix: type

---------

Co-authored-by: sriram veeraghanta <veeraghanta.sriram@gmail.com>

packages/services/src/cycle/index.ts

@@ -2,3 +2,4 @@ export * from "./cycle-analytics.service";
 export * from "./cycle-archive.service";
 export * from "./cycle-operations.service";
 export * from "./cycle.service";
+export * from "./sites-cycle.service";

packages/services/src/cycle/sites-cycle.service.ts

@@ -0,0 +1,31 @@
+// plane imports
+import { API_BASE_URL } from "@plane/constants";
+import { TPublicCycle } from "@plane/types";
+// api service
+import { APIService } from "../api.service";
+
+/**
+ * Service class for managing cycles within plane sites application.
+ * Extends APIService to handle HTTP requests to the cycle-related endpoints.
+ * @extends {APIService}
+ * @remarks This service is only available for plane sites
+ */
+export class SitesCycleService extends APIService {
+  constructor(BASE_URL?: string) {
+    super(BASE_URL || API_BASE_URL);
+  }
+
+  /**
+   * Retrieves list of cycles for a specific anchor.
+   * @param anchor - The anchor identifier for the published entity
+   * @returns {Promise<TPublicCycle[]>} The list of cycles
+   * @throws {Error} If the request fails
+   */
+  async list(anchor: string): Promise<TPublicCycle[]> {
+    return this.get(`/api/public/anchor/${anchor}/cycles/`)
+      .then((response) => response?.data)
+      .catch((error) => {
+        throw error?.response?.data;
+      });
+  }
+}